Homotopy Perturbation Method and Seventh-Order Boundary Value Problems

  • Authors

    • Fazle Mabood Edwardes College Peshawar, KPK, 25000, Pakistan
    • Muhammad Idrees Department of Mathematics, City University Peshawar,KPK,25000,Pakistan

    Received date: November 20, 2012

    Accepted date: December 7, 2012

    Published date: December 13, 2012

    https://doi.org/10.14419/ijamr.v2i1.563

  • Abstract

    Homotopy Perturbation Method (HPM) is employed to find the approximate solution of seventh-order linear and nonlinear boundary value problems. The effectiveness of HPM is illustrated through two examples. The approximate solution of the equations is obtained in terms of convergent series. Interestingly a high accurate result was obtained with only one p-term of the series using HPM. This thus confirms the strength of HPM. Low absolute error indicates that HPM is a promising tool for solving higher order linear and nonlinear boundary value problems.

    Author Biography

    • Muhammad Idrees, Department of Mathematics, City University Peshawar,KPK,25000,Pakistan
      PhD, Assistant Professor.Department of Mathematics,

  • Downloads

  • How to Cite

    Mabood, F., & Idrees, M. (2012). Homotopy Perturbation Method and Seventh-Order Boundary Value Problems. International Journal of Applied Mathematical Research, 2(1), 70-75. https://doi.org/10.14419/ijamr.v2i1.563

    Received date: November 20, 2012

    Accepted date: December 7, 2012

    Published date: December 13, 2012

Click a tab to check if it is active.