Journal of Engineering and Applied Sciences
Year:
2017
Volume:
12
Issue:
18
Page No.
4602 - 4605
Power Series Solutions for Non-Linear Systems of Partial Differential Equations
Authors :
EddyDjauhari
References
Bataineh, A.S., M.S.M. Noorani and I. Hashim, 2008. Approximate analytical solutions of systems of PDEs by homotopy analysis method. Comput. Math. Appl., 55: 2913-2923.
CrossRef | Direct Link | Chun, C., H. Jafari and Y.I. Kim, 2009. Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method. Comput. Math. Appl., 57: 1226-1231.
Direct Link | Fairen, V., V. Lopez and L. Conde, 2008. Power series approximation to solutions of nonlinear systems of differential equations. Am. J. Phys., 56: 57-61.
Hawkins, T., 2000. Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics. Springer, Berlin, Germany,.
Kurulay, M. and M. Bayram, 2009. A novel power series method for solving second order partial differential equations. Eur. J. Pure Appl. Math., 2: 268-277.
Direct Link | Pelosi, G., 2007. The finite-element method, part I: Rl courant (historical corner). IEEE. Antennas Propag. Mag., 49: 180-182.
CrossRef | Direct Link | Polyanin, A.D. and V.F. Zaitsev, 2004. Handbook of Nonlinear Partial Differential Equations. Chapman & Hall/CRC, Boca Raton, Florida, ISBN:1-58488-355-3, Pages: 813.
Taha, R.T. and M.J. Ablowitz, 1984. Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrodinger equation. J. Comput. Phys., 55: 203-230.
CrossRef | Direct Link |