A computational solution of the multi-term nonlinear ODEs with variable coefficients using the integral-collocation-approach based on Legendre polynomials

  • Khadijah Mohammed
  • M. M. Khader College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh: 11566
Keywords: Integral collocation formulation, Legendre spectral method, Multi-term ODEs.

Abstract

The main aim of this work is devoted to propose and analyze some schemes of the integral collocation formulation dependent on Legendre polynomials. We introduce these formulae to solve the multi-term ODEs with variable coefficients. The proposed technique is used to reduce the given problem to solve a system of algebraic equations. Numerical results are given to satisfy the accuracy and the applicability of the implemented approach.

Author Biographies

Khadijah Mohammed
Department of Mathematics and Statistics
M. M. Khader, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh: 11566
Department of Mathematics and Statistics

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Published
2016-10-18
How to Cite
Mohammed, K., & Khader, M. M. (2016). A computational solution of the multi-term nonlinear ODEs with variable coefficients using the integral-collocation-approach based on Legendre polynomials. Journal of Progressive Research in Mathematics, 9(3), 1406-1410. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/857
Section
Articles