Numerical Solution of Direct and Inverse Problems for Time-Dependent Volterra Integro-Differential Equation Using Finite Integration Method with Shifted Chebyshev Polynomials

Numerical Solution of Direct and Inverse Problems for Time-Dependent Volterra Integro-Differential Equation Using Finite Integration Method with Shifted Chebyshev Polynomials

In this article, the direct and inverse problems for the one-dimensional time-dependent Volterra integro-differential equation involving two integration terms of the unknown function (i.e., with respect to time and space) are considered. In order to acquire accurate numerical results, we apply the f...

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Bibliographic Details
Main Authors: Ratinan Boonklurb, Ampol Duangpan, Phansphitcha Gugaew
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
finite integration method
shifted Chebyshev polynomial
direct and inverse problems
Volterra integro-differential equation
Tikhonov regularization method
Online Access:https://www.mdpi.com/2073-8994/12/4/497

Internet

https://www.mdpi.com/2073-8994/12/4/497

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