An Effective Numerical Technique for Solving Second Order Linear Two-Point Boundary Value Problems with Deviating Argument
الموضوعات : مجله بین المللی ریاضیات صنعتیM. Khaleghi 1 , E. Babolian 2 , S. Abbasbandy 3
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.
الکلمات المفتاحية: Two-point boundary value problem, Deviating argument, Chebyshev reproducing kernel method, Polynomial reproducing kernel, Chebyshev polynomials,
ملخص المقالة :
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.