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

نویسندگان

  • E. Babolian Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
  • M. Khaleghi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
  • S. Abbasbandy Department of Applied Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran.

چکیده

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.

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