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A new block method with variable stepsize implementation for solving third‐order differential systems.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 12, p. 9987, doi. 10.1002/mma.10105
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A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 11, p. 8638, doi. 10.1002/mma.10036
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Analytical and Numerical Solution for the Time Fractional Black-Scholes Model Under Jump-Diffusion.
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- Computational Economics, 2024, v. 63, n. 5, p. 1853, doi. 10.1007/s10614-023-10386-3
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Numerical scheme for singularly perturbed Fredholm integro-differential equations with non-local boundary conditions.
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- Computational & Applied Mathematics, 2024, v. 43, n. 3, p. 1, doi. 10.1007/s40314-024-02636-3
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Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation.
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- Computational & Applied Mathematics, 2024, v. 43, n. 3, p. 1, doi. 10.1007/s40314-024-02615-8
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- Article
New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term.
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- Axioms (2075-1680), 2024, v. 13, n. 2, p. 105, doi. 10.3390/axioms13020105
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A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations.
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- Computational & Applied Mathematics, 2024, v. 43, n. 1, p. 1, doi. 10.1007/s40314-023-02530-4
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- Article
A Tenth-Order Sixth-Derivative Block Method for Directly Solving Fifth-Order Initial Value Problems.
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- International Journal of Computational Methods, 2023, v. 20, n. 9, p. 1, doi. 10.1142/S0219876223500111
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A New Hybrid Block Method for Solving First-Order Differential System Models in Applied Sciences and Engineering.
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- Fractal & Fractional, 2023, v. 7, n. 10, p. 703, doi. 10.3390/fractalfract7100703
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A 14-Order Hybrid Block Method in Variable Step-Size Mode for Solving Second-Order Initial Value Problems.
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- Mathematical Problems in Engineering, 2023, p. 1, doi. 10.1155/2023/5754475
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- Article
Development of a Higher-Order -Stable Block Approach with Symmetric Hybrid Points and an Adaptive Step-Size Strategy for Integrating Differential Systems Efficiently.
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- Symmetry (20738994), 2023, v. 15, n. 9, p. 1635, doi. 10.3390/sym15091635
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- Article
A Pair of Optimized Nyström Methods with Symmetric Hybrid Points for the Numerical Solution of Second-Order Singular Boundary Value Problems.
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- Symmetry (20738994), 2023, v. 15, n. 9, p. 1720, doi. 10.3390/sym15091720
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- Article
Second-Order Robust Numerical Method for a Partially Singularly Perturbed Time-Dependent Reaction–Diffusion System.
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- Mathematics (2227-7390), 2023, v. 11, n. 12, p. 2685, doi. 10.3390/math11122685
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- Article
A Phase- and Amplification-Fitted 5(4) Diagonally Implicit Runge–Kutta–Nyström Pair for Oscillatory Systems.
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- Bulletin of the Iranian Mathematical Society, 2023, v. 49, n. 3, p. 1, doi. 10.1007/s41980-023-00765-9
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Numerical solution of time dependent nonlinear partial differential equations using a novel block method coupled with compact finite difference schemes.
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- Computational & Applied Mathematics, 2023, v. 42, n. 4, p. 1, doi. 10.1007/s40314-023-02345-3
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- Article
Quadratic B‐spline collocation method for time dependent singularly perturbed differential‐difference equation arising in the modeling of neuronal activity.
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- Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 3, p. 1805, doi. 10.1002/num.22738
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A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 4, p. 673, doi. 10.1007/s10910-022-01427-7
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An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter–Saxton equation.
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- Journal of Mathematical Chemistry, 2023, v. 61, n. 4, p. 761, doi. 10.1007/s10910-022-01437-5
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An adaptive optimized Nyström method for second‐order IVPs.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 6, p. 7543, doi. 10.1002/mma.8983
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Solving SIVPs of Lane–Emden–Fowler Type Using a Pair of Optimized Nyström Methods with a Variable Step Size.
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- Mathematics (2227-7390), 2023, v. 11, n. 6, p. 1535, doi. 10.3390/math11061535
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- Article
Second-Order Dynamic Equations with Noncanonical Operator: Oscillatory Behavior.
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- Fractal & Fractional, 2023, v. 7, n. 2, p. 134, doi. 10.3390/fractalfract7020134
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An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 2, p. 2117, doi. 10.1002/mma.8632
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A trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström pair to solve oscillating systems.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 1, p. 560, doi. 10.1002/mma.8528
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- Article
Third Order Root-Finding Methods based on a Generalization of Gander's Result.
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- Malaysian Journal of Mathematical Sciences, 2022, v. 16, n. 4, p. 659, doi. 10.47836/mjms.16.4.01
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A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method.
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- Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 17, p. 10598, doi. 10.1002/mma.8386
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Numerical solution of a fourth‐order singularly perturbed boundary value problem with discontinuities via Haar wavelets.
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- Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 17, p. 10904, doi. 10.1002/mma.8424
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- Article
Development of an Efficient Diagonally Implicit Runge–Kutta–Nyström 5(4) Pair for Special Second Order IVPs.
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- Axioms (2075-1680), 2022, v. 11, n. 10, p. N.PAG, doi. 10.3390/axioms11100565
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Efficient Numerical Solutions to a SIR Epidemic Model.
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- Mathematics (2227-7390), 2022, v. 10, n. 18, p. 3299, doi. 10.3390/math10183299
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A Positivity-Preserving Improved Nonstandard Finite Difference Method to Solve the Black-Scholes Equation.
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- Mathematics (2227-7390), 2022, v. 10, n. 11, p. 1846, doi. 10.3390/math10111846
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- Article
A Family of A-Stable Optimized Hybrid Block Methods for Integrating Stiff Differential Systems.
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- Mathematical Problems in Engineering, 2022, p. 1, doi. 10.1155/2022/5576891
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- Article
New Monotonic Properties of the Class of Positive Solutions of Even-Order Neutral Differential Equations.
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- Mathematics (2227-7390), 2022, v. 10, n. 9, p. 1470, doi. 10.3390/math10091470
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Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations.
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- Computational & Applied Mathematics, 2022, v. 41, n. 1, p. 1, doi. 10.1007/s40314-021-01729-7
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A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation.
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- Symmetry (20738994), 2022, v. 14, n. 1, p. 141, doi. 10.3390/sym14010141
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A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 16, p. 12332, doi. 10.1002/mma.7358
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A strategy to avoid ill‐conditioned stars in the generalized finite difference method for solving one‐dimensional problems.
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- Computational & Mathematical Methods, 2021, v. 3, n. 6, p. 1, doi. 10.1002/cmm4.1149
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- Article
Numerical solution of third‐order boundary value problems by using a two‐step hybrid block method with a fourth derivative.
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- Computational & Mathematical Methods, 2021, v. 3, n. 6, p. 1, doi. 10.1002/cmm4.1166
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A philos‐type criterion to determine the oscillatory character of a class of neutral delay differential equations.
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- Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 13, p. 9966, doi. 10.1002/mma.7383
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- Article
Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques.
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- Axioms (2075-1680), 2021, v. 10, n. 3, p. 202, doi. 10.3390/axioms10030202
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- Article
Adaptive step-size approach for Simpson's-type block methods with time efficiency and order stars.
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- Computational & Applied Mathematics, 2021, v. 40, n. 6, p. 1, doi. 10.1007/s40314-021-01605-4
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Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems.
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- Computational & Applied Mathematics, 2021, v. 40, n. 6, p. 1, doi. 10.1007/s40314-021-01599-z
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- Article
A New Nonlinear Ninth-Order Root-Finding Method with Error Analysis and Basins of Attraction.
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- Mathematics (2227-7390), 2021, v. 9, n. 16, p. 1996, doi. 10.3390/math9161996
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Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically.
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- Neural Computing & Applications, 2021, v. 33, n. 11, p. 5753, doi. 10.1007/s00521-020-05355-y
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A Fourth Order Symplectic and Conjugate-Symplectic Extension of the Midpoint and Trapezoidal Methods.
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- Mathematics (2227-7390), 2021, v. 9, n. 10, p. 1103, doi. 10.3390/math9101103
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More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations.
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- Mathematics (2227-7390), 2021, v. 9, n. 10, p. 1114, doi. 10.3390/math9101114
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Trigonometric Embeddings in Polynomial Extended Mode Decomposition—Experimental Application to an Inverted Pendulum.
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- Mathematics (2227-7390), 2021, v. 9, n. 10, p. 1119, doi. 10.3390/math9101119
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Development and Implementation of a Tenth-Order Hybrid Block Method for Solving Fifth-Order Boundary Value Problems.
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- Mathematical Modelling & Analysis, 2021, v. 26, n. 2, p. 267, doi. 10.3846/mma.2021.12940
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- Article
A Family of Functionally-Fitted Third Derivative Block Falkner Methods for Solving Second-Order Initial-Value Problems with Oscillating Solutions.
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- Mathematics (2227-7390), 2021, v. 9, n. 7, p. 713, doi. 10.3390/math9070713
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A Unifying Framework for Perturbative Exponential Factorizations.
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- Mathematics (2227-7390), 2021, v. 9, n. 6, p. 637, doi. 10.3390/math9060637
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Numerical solution of Bratu’s and related problems using a third derivative hybrid block method.
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- Computational & Applied Mathematics, 2020, v. 39, n. 4, p. 1, doi. 10.1007/s40314-020-01372-8
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- Article
One-Step Hybrid Block Method Containing Third Derivatives and Improving Strategies for Solving Bratu's and Troesch's Problems.
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- Numerical Mathematics: Theory, Methods & Applications, 2020, v. 13, n. 4, p. 946, doi. 10.4208/nmtma.OA-2019-0157
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- Article