A second order convergent initial value method for singularly perturbed system of differentialdifference equations of convection diffusion type

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Authors
L. S. Senthilkumar
 Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and technology, Kattankulathur603 203, Tamilnadu, India.
R. Mahendran
 Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and technology, Kattankulathur603 203, Tamilnadu, India.
V. Subburayan
 Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and technology, Kattankulathur603 203, Tamilnadu, India.
Abstract
In this article, a system of second order singularly perturbed delay differential equations of convection diffusion type problem is considered. An asymptotic expansion approximation of the solution is constructed. Further the asymptotic expansion approximation is numerically approximated using the Runge Kutta methods and hybrid finite difference methods. The error estimate is obtained and it is of almost second order. Numerical examples are given to illustrate the present method.
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ISRP Style
L. S. Senthilkumar, R. Mahendran, V. Subburayan, A second order convergent initial value method for singularly perturbed system of differentialdifference equations of convection diffusion type, Journal of Mathematics and Computer Science, 25 (2022), no. 1, 7383
AMA Style
Senthilkumar L. S., Mahendran R., Subburayan V., A second order convergent initial value method for singularly perturbed system of differentialdifference equations of convection diffusion type. J Math Comput SCIJM. (2022); 25(1):7383
Chicago/Turabian Style
Senthilkumar, L. S., Mahendran, R., Subburayan, V.. "A second order convergent initial value method for singularly perturbed system of differentialdifference equations of convection diffusion type." Journal of Mathematics and Computer Science, 25, no. 1 (2022): 7383
Keywords
 Delay differential equations
 singularly perturbed problem
 asymptotic expansion approximation
 initial value method
 Shishkin mesh
MSC
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