Homotopy Analysis Method for Time-Fractional Wave-Like Equations

被引：0
作者：
Shaiq M.S. [1 ]
Iqbal Z. [1 ]
Mohyud-Din S.T. [1 ]
机构：
[1] Department of Mathematics, HITEC University, Taxila Cantt
来源：
Computational Mathematics and Modeling | 2013年 / 24卷 / 4期
关键词：
exact solutions; fractional calculus; fractional wave-like equations; Homotopy analysis method; nonlinear wave-like equations; PDEs;
D O I：
10.1007/s10598-013-9201-2
中图分类号：
学科分类号：
摘要：
In this paper, we apply the homotopy analysis method (HAM) to find appropriate solutions of time-fractional nonlinear wave-like equations with variable coefficients that are of utmost importance in applied and engineering sciences. Numerical results coupled with graphical representation explicitly reveal the complete reliability of the proposed algorithm. © 2013 Springer Science+Business Media New York.
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页码：592 / 603
页数：11
相关论文
共 17 条
  • [11] Gurney W.S.C., Nisbet R.M., The regulation of in homogenous populations, J. Theor. Biol., 52, pp. 441-457, (1975)
  • [12] Lu Y.G., Holder estimates of solution of biological population equations, Appl. Math. Lett., 13, pp. 123-126, (2000)
  • [13] Tan Y., Abbasbandy S., Homotopy analysis method for quadratic Riccati differential equation, Commun. Nonlinear Sci. Numer. Simul., 13, pp. 539-546, (2008)
  • [14] Hayat T., Khan M., Asghar S., Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid, Acta. Mech., 168, pp. 213-232, (2004)
  • [15] Hayat T., Khan M., Homotopy solutions for a generalized second-grade fluid past a porous plate, Nonlinear Dyn., 42, pp. 395-405, (2005)
  • [16] Mohyud-Din S.T., Yildirim A., The numerical solution of three dimensional Helmholtz equation, Chin. Phys. Lett., 27, 6, (2010)
  • [17] Yildirim A., Mohyud-Din S.T., Analytical approach to space and time fractional Burger's equations, Chin. Phys. Lett., 27, 9, (2010)
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