Solving A System Of Nonlinear Functional Equations Using Revised New Iterative Method
| Autor: | Sachin Bhalekar, Varsha Daftardar-Gejji |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| DOI: | 10.5281/zenodo.1054770 |
| Popis: | In the present paper, we present a modification of the New Iterative Method (NIM) proposed by Daftardar-Gejji and Jafari [J. Math. Anal. Appl. 2006;316:753–763] and use it for solving systems of nonlinear functional equations. This modification yields a series with faster convergence. Illustrative examples are presented to demonstrate the method. {"references":["I. Podlubny, Fractional Differential Equations, Academic Press, San\nDiego, 1999.","L. Debnath, Int. J. Math. and Math. Sci., 2003, 1(2003)","G. Adomian, Solving Frontier Problems of Physics: The Decomposition\nMethod, Kluwer, 1994.","J. H. He, Comput. Meth. Appl. Mech. Eng., 167, 57(1998)","J. H. He, Comput. Meth. Appl. Mech. Eng., 178, 257(1999)","V. Daftardar-Gejji, H. Jafari, J. Math. Anal. Appl., 316, 753(2006)","S. Bhalekar, V. Daftardar-Gejji, Solving Riccati differential equations\nof fractional order using the new iterative method, (submitted for\npublication).","S. Bhalekar, V. Daftardar-Gejji, New Iterative Method: Application to\nPartial Differential Equations, (submitted for publication).","S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional Integrals and\nDerivatives: Theory and Applications, Gordon and Breach, Yverdon,\n1993.\n[10] H. Jafari, V. Daftardar-Gejji, Appl. Math. Comput., 181, 598(2006)\n[11] A. M. Wazwaz, Comput. Math. Appl., 54, 895(2007)\n[12] D.D. Ganji, M. Nourollahi, E. Mohseni, Comput. and Math. with Appl.,\n(In press), doi:10.1016/j.camwa.2006.12.078."]} |
| Databáze: | OpenAIRE |
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