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Information Journal Paper

Title

HOMOTOPY ANALYSIS METHOD BASED ON OPTIMAL VALUE OF THE CONVERGENCE CONTROL PARAMETER FOR SOLVING SEMI-DIFFERENTIAL EQUATIONS

Pages

  105-121

Keywords

HOMOTOPY ANALYSIS METHOD (HAM) 

Abstract

 In this paper, homotopy analysis method is directly extended to investigate nth order SEMI-DIFFERENTIAL EQUATIONS and to derive their numerical solutions which is introduced by replacing some integer-order space derivatives by fractional derivatives. The fractional derivatives are described in the Caputo sense. So the homotopy analysis method for differential equations of integer-order is directly extended to derive explicit and numerical solutions of the fractional differential equations. An optimal value of the convergence control parameter is given through the square residual error. Comparison is made between Homotopy perturbation method, collocation spline method, and the present method.

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    APA: Copy

    HOSSEINI FADRAVI, H., SABERI NIK, H., & BUZHABADI, R.. (2011). HOMOTOPY ANALYSIS METHOD BASED ON OPTIMAL VALUE OF THE CONVERGENCE CONTROL PARAMETER FOR SOLVING SEMI-DIFFERENTIAL EQUATIONS. JOURNAL OF MATHEMATICAL EXTENSION, 5(2 (11)), 105-121. SID. https://sid.ir/paper/627293/en

    Vancouver: Copy

    HOSSEINI FADRAVI H., SABERI NIK H., BUZHABADI R.. HOMOTOPY ANALYSIS METHOD BASED ON OPTIMAL VALUE OF THE CONVERGENCE CONTROL PARAMETER FOR SOLVING SEMI-DIFFERENTIAL EQUATIONS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2011;5(2 (11)):105-121. Available from: https://sid.ir/paper/627293/en

    IEEE: Copy

    H. HOSSEINI FADRAVI, H. SABERI NIK, and R. BUZHABADI, “HOMOTOPY ANALYSIS METHOD BASED ON OPTIMAL VALUE OF THE CONVERGENCE CONTROL PARAMETER FOR SOLVING SEMI-DIFFERENTIAL EQUATIONS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 5, no. 2 (11), pp. 105–121, 2011, [Online]. Available: https://sid.ir/paper/627293/en

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