Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order

DOI10.1016/j.amc.2017.11.024zbMath1426.65211OpenAlexW2775801138MaRDI QIDQ2423102

Mehdi Shahbazi, Esmail Hesameddini

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.11.024

zbMATH Keywords

error estimatenumerical algorithmtwo-dimensional fractional integral equationstwo-dimensional shifted Legendre polynomials

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (11)

An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment ⋮ Application of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation ⋮ Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space ⋮ Unnamed Item ⋮ Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions ⋮ Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations ⋮ Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations ⋮ A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equations ⋮ Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations ⋮ A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order ⋮ Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions

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