An ‎E‎ffective Numerical Technique for Solving Second Order Linear Two-Point Boundary Value Problems with Deviating Argument

Document Type : Research Paper

Authors

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

2 Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran.

3 Department of Applied Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran.

Abstract

Based on reproducing kernel theory, an effective numerical technique is proposed for solving second order linear two-point boundary value problems with deviating argument. In this method, reproducing kernels with Chebyshev polynomial form are used (C-RKM). The convergence and an error estimation of the method are discussed. The efficiency and the accuracy of the method is demonstrated on some numerical examples.

Keywords

International Journal of Industrial Mathematics
Volume 11, Issue 4
December 2019
Pages 275-281

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