Abstract
This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro-differential equations. The performance of generalized spline functions are illustrated in test examples
Highlights
Integro-differential equation (IDE) is an important branch of modern Mathematics and arises frequently in many applied areas which include engineering, mechanics, Physics, Chemistry, Biology, economics and electrostatics, [1]
Authors and researchers used numerical methods to find a solution of the integrodifferential equations
Elayaraja and Jumat, in [2], Generalized Minimal Residual (GMR) method may be used to approximate the solution of linear Fredholm integro-differential equation of second order which discretized by using finite difference and trapezoidal methods
Summary
Integro-differential equation (IDE) is an important branch of modern Mathematics and arises frequently in many applied areas which include engineering, mechanics, Physics, Chemistry, Biology, economics and electrostatics, [1]. Linear Volterra integro-differential equation (VIDE) of nth order : System of the 1st order linear Volterra integro-differential equation (VIDE's): mx
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