Year: 2025
Type: article
Abstract: Volterra integral equations appear when we convert an initial value problem to an integral equation. The solution of the Volterra integral equation is much easier than the original initial value problem. Many problems of thermodynamics, biology, chemistry, medical sciences, physics, heat flow, neutron diffusion problem, electric circuit problem, transform problem mechanics, and engineering can be represented mathematically in terms of Volterra integral equations of the first and second kind. Numerical Method for solving Third Kind Volterra Integral Equations (VIEs) using Simpson's Rule. By approximating the unknown function using Lagrange Polynomial interpolation and applying Simpson's rule for numerical integration, we obtain a system of linear algebraic equations. The solution of this system provides an approximation to the original integral equation.
DOI: 10.14419/gq7zz405
Authors: Tejal R. Gore, Avinash V. Khambayat
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416596475
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