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Numerical Simulation for System of Time-Fractional Linear and Nonlinear Differential Equations |
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PP: 65-77 |
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doi:10.18576/pfda/050107
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Author(s) |
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Devendra Kumar,
Jagdev Singh,
Amit Prakash,
Ram Swroop,
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Abstract |
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| This paper is concerned with q-homotopy analysis transform technique to investigate system of differential equations (DE)
of arbitrary order. The proposed technique describes the convergence range at large domain, by appropriate selection of initial
approximation, auxiliary parameter and asymptotic parameter n (n ≥ 1). The proposed technique provides infinitely many more
options for solution series and converge rapidly compared to Homotopy Analysis Method (HAM) and Homotopy Perturbation
Transform Algorithm (HPTA) in same term iterations. A comparative study of suggested scheme with exact, HAM and HPTA have
been done and Maple package is used to enhance the power and efficiency of proposed technique. |
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