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On the piecewise-spectral homotopy analysis method and its convergence: solution of hyperchaotic Lü system.
- Published in:
- Journal of Numerical Mathematics, 2014, v. 22, n. 4, p. 343, doi. 10.1515/jnma-2014-0015
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- Article
On a new quasi-linearization method for systems of nonlinear boundary value problems.
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- Mathematical Methods in the Applied Sciences, 2011, v. 34, n. 11, p. 1406, doi. 10.1002/mma.1449
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- Article
On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid.
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- Journal of Applied Mathematics, 2017, p. 1, doi. 10.1155/2017/5962073
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- Article
On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method.
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- Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/879195
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- Article
A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems.
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- Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/423628
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- Article
On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations.
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- Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/751975
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- Article
The Effects of Chemical Reaction, Hall, and Ion-Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique.
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- Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/689015
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- Article
Construction of Optimal Derivative-Free Techniques without Memory.
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- Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/497023
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- Article
Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System.
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- Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/258948
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- Article
On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows.
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- Journal of Applied Mathematics, 2009, p. 1, doi. 10.1155/2008/835380
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- Article
On the Asymptotic Approach to Thermosolutal Convection in Heated Slow Reactive Boundary Layer Flows.
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- Journal of Applied Mathematics, 2008, p. 1, doi. 10.1155/2008/835380
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- Article
Successive linearisation analysis of unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and thermal radiation effects.
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- Canadian Journal of Chemical Engineering, 2012, v. 90, n. 5, p. 1323, doi. 10.1002/cjce.20640
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- Article
Hydromagnetic non-Darcy flow, heat and mass transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation.
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- Canadian Journal of Chemical Engineering, 2011, v. 89, n. 6, p. 1388, doi. 10.1002/cjce.20499
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- Article
A model of steady viscous flow of a micropolar fluid driven by injection or suction between a porous disk and a non-porous disk using a novel numerical technique.
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- Canadian Journal of Chemical Engineering, 2010, v. 88, n. 6, p. 991, doi. 10.1002/cjce.20368
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- Article
Homotopy analysis of heat and mass transfer boundary layer flow through a non-porous channel with chemical reaction and heat generation.
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- Canadian Journal of Chemical Engineering, 2010, v. 88, n. 6, p. 975, doi. 10.1002/cjce.20366
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- Article
Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative.
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- Algorithms, 2016, v. 9, n. 4, p. 65, doi. 10.3390/a9040065
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- Article
Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative.
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- Algorithms, 2015, v. 8, n. 4, p. 1076, doi. 10.3390/a8041076
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- Article
Local Convergence of an Optimal Eighth Order Method under Weak Conditions.
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- Algorithms, 2015, v. 8, n. 3, p. 645, doi. 10.3390/a8030645
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- Article
The Mixed Finite Element Multigrid Method for Stokes Equations.
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- Scientific World Journal, 2015, v. 2015, p. 1, doi. 10.1155/2015/460421
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- Article
Geometric Construction of Eighth-Order Optimal Families of Ostrowski’s Method.
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- Scientific World Journal, 2015, v. 2015, p. 1, doi. 10.1155/2015/614612
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- Article
A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations.
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- Scientific World Journal, 2014, p. 1, doi. 10.1155/2014/581987
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- Article
Second derivative free sixth order continuation method for solving nonlinear equations with applications.
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- Journal of Mathematical Chemistry, 2018, v. 56, n. 7, p. 2099, doi. 10.1007/s10910-018-0868-7
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- Article
An optimal scheme for multiple roots of nonlinear equations with eighth-order convergence.
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- Journal of Mathematical Chemistry, 2018, v. 56, n. 7, p. 2069, doi. 10.1007/s10910-018-0857-x
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- Article
Body mass index and cervical cancer screening among women aged 15–69 years in Eswatini: evidence from a population-based survey.
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- BMC Public Health, 2023, v. 23, n. 1, p. 1, doi. 10.1186/s12889-023-16520-y
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- Article
On an Interpolation Based Spectral Homotopy Analysis Method for PDE Based Unsteady Boundary Layer Flows.
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- Abstract & Applied Analysis, 2014, p. 1, doi. 10.1155/2014/848170
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- Article
Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations.
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- Abstract & Applied Analysis, 2014, p. 1, doi. 10.1155/2014/408230
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- Article
On the Bivariate Spectral Homotopy Analysis Method Approach for Solving Nonlinear Evolution Partial Differential Equations.
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- Abstract & Applied Analysis, 2014, p. 1, doi. 10.1155/2014/350529
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- Article
The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations.
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- Abstract & Applied Analysis, 2014, p. 1, doi. 10.1155/2014/241594
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- Article
Solving Hyperchaotic Systems Using the Spectral Relaxation Method.
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- Abstract & Applied Analysis, 2012, p. 1, doi. 10.1155/2012/203461
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- Article
Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations.
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- Nonlinear Dynamics, 2018, v. 91, n. 1, p. 81, doi. 10.1007/s11071-017-3858-6
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- Article
A new multistage spectral relaxation method for solving chaotic initial value systems.
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- Nonlinear Dynamics, 2013, v. 72, n. 1/2, p. 265, doi. 10.1007/s11071-012-0712-8
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- Article
Overlapping Multi-Domain Spectral Method for MHD Mixed Convection Slip Flow Over an Exponentially Decreasing Mainstream with Nonuniform Heat Source/Sink and Convective Boundary Conditions.
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- International Journal of Computational Methods, 2021, v. 18, n. 5, p. N.PAG, doi. 10.1142/S0219876221500043
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- Article
A General Way to Construct a New Optimal Scheme with Eighth-Order Convergence for Nonlinear Equations.
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- International Journal of Computational Methods, 2020, v. 17, n. 01, p. N.PAG, doi. 10.1142/S0219876218430119
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- Article
Efficient Multi-Domain Bivariate Spectral Collocation Solution for MHD Laminar Natural Convection Flow from a Vertical Permeable Flat Plate with Uniform Surface Temperature and Thermal Radiation.
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- International Journal of Computational Methods, 2019, v. 16, n. 6, p. N.PAG, doi. 10.1142/S0219876218400297
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- Article
Efficient Family of Sixth-Order Methods for Nonlinear Models with Its Dynamics.
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- International Journal of Computational Methods, 2019, v. 16, n. 5, p. 1, doi. 10.1142/S021987621840008X
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- Article
A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations.
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- International Journal of Computational Methods, 2017, v. 14, n. 4, p. -1, doi. 10.1142/S0219876217500414
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- Article
Ball Convergence for a Family of Quadrature-Based Methods for Solving Equations in Banach Space.
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- International Journal of Computational Methods, 2017, v. 14, n. 2, p. -1, doi. 10.1142/S0219876217500177
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- Article
Higher Order Two-Point Efficient Family of Halley Type Methods for Simple Roots.
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- International Journal of Computational Methods, 2016, v. 13, n. 4, p. -1, doi. 10.1142/S0219876216410164
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- Article
Unsteady Boundary Layer Flow over a Vertical Surface due to Impulsive and Buoyancy in the Presence of Thermal-Diffusion and Diffusion-Thermo using Bivariate Spectral Relaxation Method.
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- Journal of Applied Fluid Mechanics, 2016, v. 9, n. 5, p. 2605
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- Publication type:
- Article
Unsteady Boundary Layer Flow over a Vertical Surface due to Impulsive and Buoyancy in the Presence of Thermal-Diffusion and Diffusion-Thermo using Bivariate Spectral Relaxation Method.
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- Journal of Applied Fluid Mechanics, 2016, v. 9, p. 2605
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- Article
The Mixed Finite Element Multigrid Preconditioned MINRES Method for Stokes Equations.
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- Journal of Applied Fluid Mechanics, 2016, v. 9, n. 3, p. 1285
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- Article
On Efficient Spectral Perturbation Method for Unsteady Boundary-Layer Flows Caused by an Impulsively Stretching Plate.
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- Journal of Applied Fluid Mechanics, 2016, v. 9, n. 2, p. 999
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- Article
Mixed Convection Flow of Couple Stress Fluid in a Vertical Channel with Radiation and Soret Effects.
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- Journal of Applied Fluid Mechanics, 2016, v. 9, n. 1, p. 43
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- Article
On Spectral Relaxation Method for Entropy Generation on a MHD Flow and Heat Transfer of a Maxwell Fluid.
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- Journal of Applied Fluid Mechanics, 2015, v. 8, n. 1, p. 21
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- Article
Spectral Homotopy Analysis Method for PDEs That Model the Unsteady Von Kàrmàn Swirling Flow.
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- Journal of Applied Fluid Mechanics, 2014, v. 7, n. 4, p. 711
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- Article
A comparison of bivariate pseudospectral methods for nonlinear systems of steady nonsimilar boundary layer partial differential equations.
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- Computational & Mathematical Methods, 2020, v. 2, n. 6, p. 1, doi. 10.1002/cmm4.1125
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- Article
Multidomain bivariate pseudo‐spectral quasilinearization method for systems of nonlinear partial differential equations.
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- Computational & Mathematical Methods, 2020, v. 2, n. 4, p. 1, doi. 10.1002/cmm4.1096
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- Article
MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method.
- Published in:
- Applied Mathematics & Mechanics, 2012, v. 33, n. 8, p. 975, doi. 10.1007/s10483-012-1599-x
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- Article
An efficient numerical method for solving Falkner-Skan boundary layer flows.
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- International Journal for Numerical Methods in Fluids, 2012, v. 69, n. 2, p. 499, doi. 10.1002/fld.2570
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- Article
On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi-analytical technique.
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- International Journal for Numerical Methods in Fluids, 2012, v. 68, n. 12, p. 1524, doi. 10.1002/fld.2541
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- Article