Construction of a regularized asymptotic solution of an integro-differential equation with a rapidly oscillating cosine
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Published:2023-07-21
Issue:01
Volume:32
Page:74-85
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ISSN:2008-949X
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Container-title:Journal of Mathematics and Computer Science
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language:
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Short-container-title:J. Math. Computer Sci.
Author:
Bobodzhanov A.,Kalimbetov B.,Pardaeva N.
Abstract
In this paper, we consider a singularly perturbed integro-differential equation with a rapidly oscillating right-hand side, which includes an integral operator with a slowly varying kernel. Earlier, singularly perturbed differential and integro-differential equations with rapidly oscillating coefficients were considered. The main goal of this work is to generalize the Lomov's regularization method and to identify the rapidly oscillating right-hand side to the asymptotics of the solution to the original problem.
Publisher
International Scientific Research Publications MY SDN. BHD.
Subject
Computational Mathematics,Computer Science Applications,General Mathematics,Computational Mechanics