School of Mathematics and Statistics

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Browsing School of Mathematics and Statistics by Subject "Adomian decomposition method"
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    Approximate analytical solutions of Newell-Whitehead-Segel equation using a new iterative method
    ( 2015-01-01) Patade, Jayvant ; Bhalekar, Sachin
    The Newell-Whitehead-Segel equation is an important model arising in fluid mechanics. Various researchers worked on approximate solution of this model by using different methods. In this paper, we use New Iterative Method (NIM) proposed by Daftardar-Gejji and Jafari for the same purpose. We use software Mathematica 10 for computations. The results obtained by NIM are compared with exact solutions and those obtained by other iterative methods such as Laplace Adomian decomposition method (LADM) and Adomian decomposition method (ADM). It is observed that NIM is simple as compared with other methods. The solutions obtained using NIM are in well agreement with exact solution and permit very less error.
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    New iterative method: Application to partial differential equations
    ( 2008-09-15) Bhalekar, Sachin ; Daftardar-Gejji, Varsha
    In the present article, we implement the new iterative method (NIM) proposed by Daftardar-Gejji and Jafari [V. Daftardar-Gejji, H. Jafari, An iterative method for solving non linear functional equations, J. Math. Anal. Appl. 316 (2006) 753-763] to solve linear/nonlinear partial differential equations of integer and fractional order. The results obtained are compared with those obtained by other iterative methods such as adomian decomposition, homotopy perturbation and variational iteration methods. © 2008 Elsevier Inc. All rights reserved.
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    Solving evolution equations using a new iterative method
    ( 2010-07-01) Bhalekar, Sachin ; Daftardar-Gejji, Varsha
    In this article, we apply the new iterative method proposed by Daftardar-Gejji and Jafari (J Math Anal Appl 316, (2006), 753-763) for solving various linear and nonlinear evolution equations. The results obtained are compared with the results by existing methods. © 2009 Wiley Periodicals, Inc.