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Information Journal Paper

Title

NUMERICAL SOLUTIONS OF TWO-DIMENSIONAL LINEAR AND NONLINEAR VOLTERRA INTEGRAL EQUATIONS: HOMOTOPY PERTURBATION METHOD AND DIFFERENTIAL TRANSFORM METHOD

Pages

  157-167

Abstract

 In this paper, He’s HOMOTOPY PERTURBATION METHOD is applied to solve two-dimensional linear and nonlinear Volterra integral equations. Then HOMOTOPY PERTURBATION METHOD (HPM) is compared with the differential transform method (DTM) for solving two dimen-sional integral equations. We also give some examples to demonstrate the accuracy of the method. From the computational view point, the HOMOTOPY PERTURBATION METHOD is more efficient and easy to use.

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  • Cite

    APA: Copy

    BABOLIAN, E., & DASTANI, N.. (2011). NUMERICAL SOLUTIONS OF TWO-DIMENSIONAL LINEAR AND NONLINEAR VOLTERRA INTEGRAL EQUATIONS: HOMOTOPY PERTURBATION METHOD AND DIFFERENTIAL TRANSFORM METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 3(3), 157-167. SID. https://sid.ir/paper/580594/en

    Vancouver: Copy

    BABOLIAN E., DASTANI N.. NUMERICAL SOLUTIONS OF TWO-DIMENSIONAL LINEAR AND NONLINEAR VOLTERRA INTEGRAL EQUATIONS: HOMOTOPY PERTURBATION METHOD AND DIFFERENTIAL TRANSFORM METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2011;3(3):157-167. Available from: https://sid.ir/paper/580594/en

    IEEE: Copy

    E. BABOLIAN, and N. DASTANI, “NUMERICAL SOLUTIONS OF TWO-DIMENSIONAL LINEAR AND NONLINEAR VOLTERRA INTEGRAL EQUATIONS: HOMOTOPY PERTURBATION METHOD AND DIFFERENTIAL TRANSFORM METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 3, no. 3, pp. 157–167, 2011, [Online]. Available: https://sid.ir/paper/580594/en

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