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Paper
Title

Numerical Scheme based on Non-polynomial Spline Functions for ‎the System of Second Order Boundary Value Problems arising in ‎Various Engineering Applications

مجله مکانیک کاربردی و محاسباتی، دوره: 8، شماره: 1
Year: 1401
COI: JR_JACM-8-0_012
Language: EnglishView: 46
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Authors

Anju Chaurasia - Department of Mathematics, Birla Institute of Technology, Allahabad-۲۱۱۰۱۰ (U.P.), India‎
Yogesh Gupta - Department of Mathematics, Jaypee Institute of Information Technology, Noida-۲۰۱۳۰۹ (U.P.), India‎
Prakash C. Srivastava - Department of Mathematics, Birla Institute of Technology, Patna-۸۰۰۰۱۴ (Bihar), India‎

Abstract:

Several applications of computational science and engineering, including population dynamics, optimal control, and physics, reduce to the study of a system of second-order boundary value problems. To achieve the improved solution of these problems, an efficient numerical method is developed by using spline functions. A non-polynomial cubic spline-based method is proposed for the first time to solve a linear system of second-order differential equations. Convergence and stability of the proposed method are also investigated. A mathematical procedure is described in detail, and several examples are solved with numerical and graphical illustrations. It is shown that our method yields improved results when compared to the results available in the literature.

Keywords:

Paper COI Code

This Paper COI Code is JR_JACM-8-0_012. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1324054/

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Chaurasia, Anju and Gupta, Yogesh and Srivastava, Prakash C.,1401,Numerical Scheme based on Non-polynomial Spline Functions for ‎the System of Second Order Boundary Value Problems arising in ‎Various Engineering Applications,https://civilica.com/doc/1324054

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  • Geng, F., Cui, M., Solving a Non-linear System of Second ...
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  • Bataineh, M., Noorani, S. M., Hashim, I., Modified Homotopy Analysis ...
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  • Chaurasia, A., Srivastava, P.C., Gupta, Y., Solution of Higher Order ...
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