Numerical Solution of Integro-Differential Equations with Local Polynomial Regression

Numerical Solution of Integro-Differential Equations with Local Polynomial Regression

In this paper, we try to find numerical solution of               b  d , . a y x p x y x g x K x t y t t y a a x b a t b              d , . , a y x p x y x g x K x t y t t y a a x b a t b                   d x t y t t y a      a or               x  by using Local polynomial regression (LPR) method. The numerical solution shows th...

Tau Numerical Solution of Volterra Integro-Differential Equations With Arbitrary Polynomial Bases

tau numerical solution of volterra integro-differential equations with arbitrary polynomial bases

Numerical Solution of Singular Integro-differential Equations with Cauchy Kernel

The main purpose of this article is to present an approximation method of for singular integrodifferential equations with Cauchy kernel in the most general form under the mixed conditions in terms of the second kind Chebyshev polynomials. This method transforms mixed singular integro-differential equations with Cauchy kernel and the given conditions into matrix equation and using the zeroes of ...

Application of the block backward differential formula for numerical solution of Volterra integro-differential equations

In this paper, we consider an implicit block backward differentiation formula (BBDF) for solving Volterra Integro-Differential Equations (VIDEs). The approach given in this paper leads to numerical methods for solving VIDEs which avoid the need for special starting procedures. Convergence order and linear stability properties of the methods are analyzed. Also, methods with extensive stability r...