Application of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation
From MaRDI portal
Publication:4963718
DOI10.22080/cjms.2019.17199.1421zbMath1488.65756OpenAlexW2994024504MaRDI QIDQ4963718
J. Banar, Mostafa Safavi, Amirahmad A. Khajehnasiri
Publication date: 23 February 2021
Full work available at URL: http://cjms.journals.umz.ac.ir/article_2363_d6b01a2a86c66511e9c2da1b40d3bdb5.pdf
error estimationoperational matrixVolterra integro-differential equationtwo-dimensional Legendre polynomials
Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)
Cites Work
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- Solving nonlinear two-dimensional Volterra integro-differential equations by block-pulse functions
- Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
- New computational method for solving some 2-dimensional nonlinear Volterra integro-differential equations
- Homotopy perturbation method for the mixed Volterra-Fredholm integral equations
- Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
- Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
- Solution of nonlinear fractional diffusion-wave equation by triangular functions
- He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
- Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions
- Shifted Legendre direct method for variational problems
- National economies in state-space of fractional-order financial system
- Operational matrix approach for the solution of partial integro-differential equation
- Numerical solution of coupled Schrödinger-KdV equation via modified variational iteration algorithm-II
- Operational matrix approach for solution of integro-differential equations arising in theory of anomalous relaxation processes in vicinity of singular point
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- Applications of two-dimensional triangular functions for solving nonlinear class of mixed Volterra-Fredholm integral equations
- A new method based on Haar wavelet for the numerical solution of two-dimensional nonlinear integral equations
- Wavelet based iterative methods for a class of 2D-partial integro differential equations
- Numerical solution of nonlinear 2D Volterra-Fredholm integro-differential equations by two-dimensional triangular function
- Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order
- A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays
- An Euler-type method for two-dimensional Volterra integral equations of the first kind
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions
