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journal article·2020-09-01Open access

The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm

Syeda Tehmina Ejaz, Dumitru Baleanu, Ghulam Mustafa, Safia Malik, Yu-Ming Chu

AIP Advances· Volume 10· Issue 9
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Source abstract

Abstract

The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the solution of fourth order nonlinear singularly perturbed boundary value problems (NSPBVPs). The studies of convergence and approximation order of the numerical algorithm are also presented. The solution of NSPBVPs is presented to see the efficiency of the algorithm.
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Research context

OpenAlex topics: Advanced Numerical Analysis Techniques · Differential Equations and Numerical Methods · Iterative Methods for Nonlinear Equations

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, The Government Sadiq College Women University Bahawalpur 1 , Bahawalpur 63100, Pakistan

Department of Mathematics, Cankaya University, Ankara 06530, Turkey and Institute of Space Sciences 2 , 077125 Magurele, Bucharest, Romania

Department of Medical Research, China Medical University Hospital, China Medical University 3 , Taichung 40402, Taiwan

Department of Mathematics, The Islamia University of Bahawalpur 4 , Bahawalpur 63100, Pakistan

Department of Mathematics, Huzhou University, Huzhou 313000, People’s Republic of China and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology 5 , Changsha 410114, People’s Republic of China

Funding

Higher Education Commission, Pakistan

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