![Open Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextgreen.png)
![Restricted Access](https://i-scholar.in/lib/pkp/templates/images/icons/fulltextred.png)
The Differential Transform Method for Solving Multidimensional Partial Differential Equations
In this work, an analytical solution of linear and nonlinear multidimensional partial differential equation is deduced by the Differential Transform Method (DTM). Some numerical examples are presented to demonstrate the efficiency and reliability of this method.
Keywords
Differential Transform Method, Multidimensional Partial Differential Equation
User
Information
- Angalgil FK and Ayaz F (2009) Solitary wave solutions for the KdV and mKdV equations by differential transform method. J. Chaos, Solitons & Fractals. 41, 464-472.
- Biazar J, Eslami M and Islam MR (2010) Differential Transform Method for Nonlinear Parabolichyperbolic Partial Differential Equations. J. Appl & Appl. Math. 5(10) 1493-1503.
- Burdenand RL and Faires JD (1993) Numerical Analysis. PWS Publ. Co., Boston,
- Chenand CL and Liu YC (1998) Solution of two point boundary value problems using the differential transformation method, J. Opt. Theory Appl. 99, 23-35.
- Jafari H, Alipour M and Tajadodi H (2010a) Twodimensional differential transform method for solving nonlinear partial differential equations. J. Res. & Rev. Appl. Sci. 63, 968-971.
- Jafari H, Saeidy M and Firoozjaee MA (2010c) The homotopy analysis method for solving higher dimensional initial boundary value problems of variable. Numer. Methods Partial Differ. Equations.26(5), 1021-1032.
- Jafari H, Saeidy M and Zabihi M (2010b) Application of homotopy perturbation method to multidimensional partial differential equations. Int. J. Computer Math. 87(11), 2444-2449.
- Zhou JK (1986) Differential transformation and its application for electrical circuits. Huarjung University Press, Wuuhahn, China, (in Chinese).
- Zwillinger D (1992) Handbook of differential equations. Academic Press, Boston, M.A.
![](https://i-scholar.in/public/site/images/abstractview.png)
Abstract Views: 454
![](https://i-scholar.in/public/site/images/pdfview.png)
PDF Views: 165