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- Title
Solving Nonlinear Volterra Integral Equations of the First Kind with Discontinuous Kernels by Using the Operational Matrix Method.
- Authors
Amirkhizi, Simin Aghaei; Mahmoudi, Yaghoub; Shamloo, Ali Salimi
- Abstract
A numerical method to solve the nonlinear Volterra integral equations of the first kind with discontinuous kernels is proposed. Usage of operational matrices for this kind of equation is a cost-efficient scheme. Shifted Legendre polynomials are applied for solving Volterra integral equations with discontinuous kernels by converting the equation to a system of nonlinear algebraic equations. The convergence analysis is given for the approximated solution and numerical examples are demonstrated to denote the precision of the proposed method.
- Subjects
NONLINEAR integral equations; NONLINEAR equations; VOLTERRA equations
- Publication
Computational Mathematics & Mathematical Physics, 2023, Vol 63, Issue 11, p2069
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542523110015