The coupled method for singularly perturbed Volterra integro-differential equations
نویسندگان
چکیده
منابع مشابه
Numerical solution of a singularly perturbed Volterra integro-differential equation
*Correspondence: [email protected] Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, 65080, Turkey Abstract We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parame...
متن کاملExponential techniques and implicit Runge-Kutta methods for singularly-perturbed volterra integro-differential equations
Numerical experiments performed with an exponential finite difference method in equally-spaced and piecewise-uniform meshes for both the inner and the outer layers and with an implicit Runge-Kutta-Radau IIA method for the outer layer of singularly-perturbed Volterra integro-differential equations are reported. The exponential finite difference technique is based on piecewise linear approximatio...
متن کاملAn Approximation Algorithm for the Solution of the Singularly Perturbed Volterra Integro-differential and Volterra Integral Equations
Recently, there has been an increasing interest in the study of singular and perturbed systems. In this paper we propose a collocation method for solving singularly perturbed Volterra integro-differential and Volterra integral equations. The method is based upon radial basis functions, using zeros of the shifted Legendre polynomial as the collocation points. The results of numerical experiments...
متن کاملShifted Chebyshev Approach for the Solution of Delay Fredholm and Volterra Integro-Differential Equations via Perturbed Galerkin Method
The main idea proposed in this paper is the perturbed shifted Chebyshev Galerkin method for the solutions of delay Fredholm and Volterra integrodifferential equations. The application of the proposed method is also extended to the solutions of integro-differential difference equations. The method is validated using some selected problems from the literature. In all the problems that are considered...
متن کاملA method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers
In this paper, an effective procedure based on coordinate stretching and radial basis functions (RBFs) collocation method is applied to solve singularly perturbed differential-difference equations with layer behavior. It is well known that if the boundary layer is very small, for good resolution of the numerical solution at least one of the collocation points must lie in the boundary layer. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2019
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2139-8