Using Hermite Polynomials to Solve Volterra-Fredholm Integral Equation of the Second Kind
The objective of this study is to solve Linear Volterra-Fredholm Integral Equations of the second kind numerically using Hermite polynomials. We will present an
approximate solution as a series that converges towards the exact solution. Several examples are provided to illustrate the numerical results, specifically comparing the
exact and numerical solutions. These comparisons are shown in tables, demonstrating that the error between the exact and numerical solutions is negligible. Additionally,
diagrams highlight how closely the numerical solution matches the exact solution, underscoring the accuracy of the grouping method used to solve the Volterra-Fredholm
Integral Equation with the MATLAB program. This method is noted for its simplicity, speed, and high accuracy in obtaining numerical results.
Citation
M. KEHALI Salima,
(2024-08-28),
"Using Hermite Polynomials to Solve Volterra-Fredholm Integral Equation of the Second Kind",
[national]Mathematical Modelling of Engineering Problems, IIETA