Exact solutions for wave-like equations by differential transform method
محورهای موضوعی : Numerical Analysis
ج. بی آزار
1
(Department of Mathematics, Faculty of Sciences, University of Guilan.)
م. اسلامی
2
(Department of Mathematics, Faculty of Sciences, University of Guilan.)
کلید واژه: Differential transform method, Wave-like equations,
چکیده مقاله :
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of the method.
[1] A. Arikoglu, I. Ozkol, Solution of boundary value problems for integro-differential equations by using differential transform method, Appl. Math. Comput. 168, (2005)1145–1158.
[2] A. Arikoglu, I. Ozkol, Solution of fractional differential equations by using differential transform method, Chaos Soliton. Fract. 34, (2007)1473– 1481.
[3] A.M. Wazwaz, and A.Gorguis Exact solutions for heat-like and wave-like equations with variable coefficients, Appl. Math. Comput.149 (1) (2004)15–29.
[4] C.K. Chen, S.H. Ho. Solving partial differential equations by two-dimensional differential transform method. Appl Math Comput. 106 (1999)171–179.
[5] C.L. Chen, Y.C. Liu. Solution of two point boundary value problems using the differential transformation method. J Opt Theory Appl 99, (1998)23–35.
[6] Fatma Ayaz, Applications of differential transform method to differential-algebraic equations, Applied Mathematics and Computation 152, (2004)649–657.
[7] Figen Kangalgil, Fatma Ayaz, Solitary wave solutions for the KdV and mKdV equations by differential transform method Chaos, Solitons and Fractals 41(1), (2009)464-472.
[8] J.K. Zhou, Differential transformation and its application for electrical circuits, Huarjung University Press, Wuuhahn, China, 1986.
[9] M.J. Jang, C.L. Chen, Y.C. Liy, Two-dimensional differential transform for Partial differential equations, Appl. Math. Comput. 121, (2001)261–270.
[10] S.V. Ravi Kanth, K. Aruna,Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations Chaos, Solitons and Fractals 41(5), (2009)2277-2281.
