Hermite Polynomial and Least-Squares Technique for Solving Integro-differential Equations
Open Access
- 21 March 2022
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 9 (1), 93-103
- https://doi.org/10.34198/ejms.9122.93103
Abstract
The goal of this project is to offer a new technique for solving integro-differential equations (IDEs) with mixed circumstances, which is based on the Hermite polynomial and the Least-Squares Technique (LST). Three examples will be given to demonstrate how the suggested technique works. The numerical results were utilized to demonstrate the correctness and efficiency of the existing method, and all calculations were carried out with the help of the MATLAB R2018b program.Keywords
This publication has 19 references indexed in Scilit:
- A note on solving integro-differential equation with Cauchy kernelMathematical and Computer Modelling, 2010
- Numerical solution of the system of Fredholm integro-differential equations by the Tau methodApplied Mathematics and Computation, 2005
- Legendre wavelets method for the nonlinear Volterra–Fredholm integral equationsMathematics and Computers in Simulation, 2005
- Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion methodApplied Mathematics and Computation, 2005
- Combinatorial and hypergeometric identities via the Legendre polynomials––A computational approachApplied Mathematics and Computation, 2004
- Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomialsJournal of the Franklin Institute, 2004
- Solving second kind integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functionsApplied Mathematics and Computation, 2003
- Numerical solution of a class of Integro-Differential equations by the Tau Method with an error estimationApplied Mathematics and Computation, 2003
- Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expressionJournal of Computational and Applied Mathematics, 2002
- An operational approach to the Tau method for the numerical solution of non-linear differential equationsComputing, 1981