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ORIGINAL PAPER
Fourth order computational spline method for two-parameter singularly perturbed boundary value problem
1
Department of Mathematics, University College of Science, Osmania University, Hyderabad, INDIA
2
Kavikulguru Institute of Technology and Science, Ramtek, Nagpur, Maharashtra, INDIA
Online publication date: 2023-12-19
Publication date: 2023-12-23
Corresponding author
Phaneendra KOLLOJU
Department of Mathematics, University College of Science, Osmania University, Hyderabad, INDIA
Department of Mathematics, University College of Science, Osmania University, Hyderabad, INDIA
International Journal of Applied Mechanics and Engineering 2023;28(4):79-93
KEYWORDS
splinetwo-parameter singularly perturbed two-point boundary value problemdual layercharacteristic equationconvergence
ABSTRACT
The current research work considers a two-parameter singularly perturbed two-point boundary value problem. Here, we suggest a computational scheme derived by using an exponential spline for the numerical solution of the problem on a uniform mesh. The proposed numerical scheme is analyzed for convergence and an accuracy of O(h4) is achieved. Numerical experiments are considered to validate the efficiency of the spline method, and compared comparison with the existing method to prove the superiority of the proposed scheme.
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