Title of article :
An Effective Numerical Technique for Solving Second Order Linear Two-Point Boundary Value Problems with Deviating Argument
Author/Authors :
Khaleghi, M Department of Mathematics - Science and Research Branch - Islamic Azad University , Babolian, E Department of Mathematics - Science and Research Branch - Islamic Azad University , Abbasbandy, S Department of Applied Mathematics - Imam Khomeini International University
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 :
Two-point boundary value problem , Second order boundary value problem , Deviating argument , Polynomial reproducing kernel , Chebyshev polynomials , Chebyshev reproducing kernel method
Journal title :
Astroparticle Physics
