2024 : 11 : 22
Amjad Alipanah

Amjad Alipanah

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 16549281500
HIndex:
Faculty: Faculty of Science
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Phone:

Research

Title
Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method
Type
JournalPaper
Keywords
Nonclassical Sinc-collocation method Singularly perturbed Boundary value problems Convergence
Year
2024
Journal Results in Applied Mathematics
DOI
Researchers Amjad Alipanah ، Keivan Mohammadi ، Rozhan Mohamad Haji

Abstract

In this paper, we employ a nonclassical sinc-collocation method to compute numerical solutions for singularly perturbed singular third-order boundary value problems prevalent in various scientific and engineering domains. Utilizing the sinc approximation offers a strategic advantage in navigating singularities, thus enabling an efficient computational strategy. Our method streamlines the solution process by converting singular boundary value problems into sets of linear equations, thereby improving computational efficiency. Moreover, its straightforward implementation adds to its robustness. We explore the convergence properties and error estimation of our proposed methods in detail. Finally, we provide two illustrative examples that demonstrate the effectiveness of our approach.