A numerical method with a control parameter for integro-differential delay equations with state-dependent bounds via generalized Mott polynomial

A numerical method for solving delay-fractional differential and integro-differential equations

‎This article develops a direct method for solving numerically‎ ‎multi delay-fractional differential and integro-differential equations‎. ‎A Galerkin method based on Legendre polynomials is implemented for solving‎ ‎linear and nonlinear of equations‎. ‎The main characteristic behind this approach is that it reduces such problems to those of‎ ‎solving a system of algebraic equations‎. ‎A conver...

On fractional integro-differential equations with state-dependent delay

In this article, we deal with the existence of mild solutions for a class of fractional integro-differential equations with state-dependent delay. Our results are based on the technique of measures of noncompactness and Darbo’s fixed point theorem. An example is provided to illustrate the main result. AMS Subject Classifications: 26A33, 34A08, 34A37, 34G20, 34G25, 34H05, 34K09, 34K30.

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

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...

A Parameter Uniform Numerical Scheme for Singularly Perturbed Differential-difference Equations with Mixed Shifts

In this paper, we consider a second-order singularly perturbed differential-difference equations with mixed delay and advance parameters. At first, we approximate the model problem by an upwind finite difference scheme on a Shishkin mesh. We know that the upwind scheme is stable and its solution is oscillation free, but it gives lower order of accuracy. So, to increase the convergence, we propo...