Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
暂无分享,去创建一个
Devendra Kumar | Jagdev Singh | Sunil Kumar | Devendra Kumar | Jagdev Singh | Amit Kumar | Sunil Kumar | Amit Kumar | Arvind Singh | Arvind Singh
[1] Ahmed M. A. El-Sayed,et al. A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains , 2012, Appl. Math. Comput..
[2] Ming Li,et al. Solving Abel’s Type Integral Equation with Mikusinski’s Operator of Fractional Order , 2013 .
[3] O. P. Singh,et al. A stable numerical inversion of generalized Abel's integral equation , 2012 .
[4] Sunil Kumar. A Numerical Study for the Solution of Time Fractional Nonlinear Shallow Water Equation in Oceans , 2013 .
[5] Hossein Jafari,et al. Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion-wave equations , 2011, Appl. Math. Lett..
[6] Ahmed M. A. El-Sayed,et al. A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein-Gordon Equation of Arbitrary (Fractional) Orders , 2012, J. Appl. Math..
[7] O. P. Singh,et al. Homotopy Perturbation Method for Solving System of Generalized Abel's Integral Equations , 2011 .
[8] A. Golbabai,et al. Fractional calculus - A new approach to the analysis of generalized fourth-order diffusion-wave equations , 2011, Comput. Math. Appl..
[9] Y. Khan,et al. A mathematical modeling arising in the chemical systems and its approximate numerical solution , 2012 .
[10] Sunil Kumar,et al. A new analytical solution procedure for nonlinear integral equations , 2012, Math. Comput. Model..
[11] O. P. Singh,et al. Efficient algorithms to solve singular integral equations of Abel type , 2009, Comput. Math. Appl..
[12] Ji-Huan He. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .
[13] Devendra Kumar,et al. A reliable algorithm for solving discontinued problems arising in nanotechnology , 2013 .
[14] Ji-Huan He. Homotopy perturbation technique , 1999 .
[15] Majid Khan,et al. Application of Laplace decomposition method on semi-infinite domain , 2011, Numerical Algorithms.
[16] Ji-Huan He. A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .
[17] A. Elsaid,et al. A homotopy perturbation technique for solving partial differential equations in finite domains , 2012 .
[18] Abdul-Majid Wazwaz,et al. The Combined Laplace-Adomian Method for Handling Singular Integral Equation of Heat Transfer , 2010 .
[19] Ji-Huan He,et al. A NEW PERTURBATION TECHNIQUE WHICH IS ALSO VALID FOR LARGE PARAMETERS , 2000 .
[20] Ahmet Yıldırım,et al. A Fractional Model of Gas Dynamics Equations and its Analytical Approximate Solution Using Laplace Transform , 2012 .
[21] A. Wazwaz. A First Course in Integral Equations , 1997 .
[22] Sergio Vessella,et al. Abel Integral Equations , 1990 .
[23] Devendra Kumar,et al. New treatment of fractional Fornberg–Whitham equation via Laplace transform , 2013 .
[24] Ji-Huan He. Application of homotopy perturbation method to nonlinear wave equations , 2005 .
[25] Sohrab Ali Yousefi,et al. Numerical solution of Abel's integral equation by using Legendre wavelets , 2006, Appl. Math. Comput..
[26] O. P. Singh,et al. Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method , 2010 .
[27] A. Wazwaz. Linear and Nonlinear Integral Equations: Methods and Applications , 2011 .
[28] Majid Khan,et al. A reliable treatment of Abel's second kind singular integral equations , 2012, Appl. Math. Lett..