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
Affiliations
Syeda Tehmina Ejaz
Department of Mathematics, The Government Sadiq College Women University Bahawalpur, Bahawalpur 63100, Pakistan
Dumitru Baleanu
Department of Mathematics, Cankaya University, Ankara 06530, Turkey and Institute of Space Sciences, 077125 Magurele, Bucharest, Romania
Ghulam Mustafa
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Safia Malik
Department of Mathematics, The Government Sadiq College Women University Bahawalpur, Bahawalpur 63100, Pakistan
Yu-Ming Chu
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, Changsha 410114, People’s Republic of China
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.
