Approximate Analytical Solution of Liner Boundary Value Problems by Laplace-Differential Transform Method
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M. Alquran, K.A. Khaled, M. Ali and A. Taany, The Combined Laplace Transform- Differential Transformation Method for Solving Linear Non- Homogeneous PDEs, Journal of Mathematical and Computational Science 2, 3, (2012), 690-701.
I.H.A.H. Hassan, Different Applications for the Differential Transformation in the Differential Equations, Applied Mathematics and Computation, 129, 2, 2002, 183-201.
I.H.A.H. Hassan, V.S. Erturk, Solutions of Different Types of the Linear and Non-linear Higher-Order Boundary Value Problems by Differential Transformation Method, European Journal of Pure and Applied Mathematics, 2, 3, 2009, 426-447.
A. Arikoglu, A. and I. Ozkol, Solution of Fractional Differential Equations by using Differential Transform Method, Chaos Solitons and Fractals, 34, 5, 2007, 1473-1481.
F. Ayaz, Applications of Differential Transform Method to Differential-Algebraic Equations, Applied Mathematics and Computation, 152, 3, 2004, 649-657.
N. Bildik and A. Konuralp, The use of the Variational Iteration Method, Differential Transform Method and Adomian Decomposition method for solving Different Types of Non-linear Partial Differential Equations, International Journal of Nonlinear Sciences and Numerical
Simulation, 7, 1, 2006, 65-70.
V.S. Erturk, Application of Differential Transformation Method to Linear Sixth-Order Boundary Value Problems, Applied Mathematical Sciences, 1, 2, 2007, 51-58.
P.K. Gupta, Approximate Analytical Solutions of Fractional BenneyLin Equation by Reduced Differential Transform Method and the Homotopy Perturbation Method, Computers & Mathematics with Applications, 61, 9, 2011, 2829-2842.
Y. Keskin and G. Oturanc, Application of Reduced Differential Transform Method for Solving Gas Dynamics Equation, International Journal of Contemporary Mathematical Sciences, 5, 22, 2010, 1091-1096.
N.A. Khan, A. Ara and A. Yildirim, Approximate Solution of Helmholtz Equation by Differential Transform Method, World Applied Sciences Journal, 10, 12, 2010, 1490-1492.
M. Madani, M. Fathizadeh, Y. Khan and A. Yildirim, On the Coupling of the Homotopy Perturbation Method and Laplace Transformation Method, Mathematical and Computer Modelling, 53, 9-10, 2011, 1937-45.
H.K. Mishra and A.K. Nagar, He-Laplace Method for Linear and Nonlinear Partial Differential Equations, Journal of Applied Mathematics, Article Id-180315, 2012, 1-16.
J.K. Zhou, Differential Transformation and its Applications for Electrical Circuits, in Chinese, Huarjung University Press, Wuuhahn, China, 1986.
DOI: http://dx.doi.org/10.26713%2Fjims.v7i2.314
eISSN 0975-5748; pISSN 0974-875X
