An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation
نویسندگان
چکیده
The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. finite difference scheme constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. recommended second convergent in the discrete maximum norm. Numerical results illustrating preciseness computationally attractiveness proposed are presented.
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...
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ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2023
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.1050505