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

الموضوعات : مجله بین المللی ریاضیات صنعتی

M. Khaleghi ¹ (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.)
E. Babolian ² (Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran.)
S. Abbasbandy ³ (Department of Applied Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran.)

تاريخ الإرسال : 21 الأحد , ذو القعدة, 1438 تاريخ التأكيد : 03 الجمعة , رمضان, 1439 تاريخ الإصدار : 04 الأحد , ربيع الثاني, 1441

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.