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Amjad Alipanah

Amjad Alipanah

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

Research

Title
Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method
Type
JournalPaper
Keywords
Non-classical, Sinc collocation method, Third-order, Boundary value problem, Convergence.
Year
2023
Journal Computational Methods for Differential Equations
DOI
Researchers Amjad Alipanah ، Kayvan Mahmodi ، Mohammad Ghasemi

Abstract

In this work, a non-classical sinc-collocation method is used to find numerical solution of third-order boundary value problems. The novelty of this approach is based on using the weight functions in the traditional sincexpansion. The properties of sinc-collocation are used to reduce the boundary value problems to a nonlinear system of algebraic equations which can be solved numerically. In addition, the convergence of the proposed method is discussed by preparing the theorems which show exponential convergence and guarantee its applicability. Several examples are solved and the numerical results show the efficiency and applicability of the method.