Numerical solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral equations using shifted Jacobi operational matrices via collocation method

Numerical solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral equations using shifted Jacobi operational matrices via collocation method

In this paper, an efficient numerical method is presented to approximate solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral equations. We derive new operational matrices of fractional-order integration and product based on two-variable shifted Jacobi polynomials. These...

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Bibliographic Details
Main Authors: Jalil Rashidinia, Tahereh Eftekhari, Khosrow Maleknejad
Format: Article
Language:English
Published: Elsevier 2021-01-01
Series:Journal of King Saud University: Science
Subjects:
Two-dimensional nonlinear fractional Volterra and Fredholm integral equations
Two-variable shifted Jacobi polynomials
Collocation method
Operational matrices
Convergence analysis
Online Access:http://www.sciencedirect.com/science/article/pii/S101836472030358X

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http://www.sciencedirect.com/science/article/pii/S101836472030358X

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