An application of double Laplace transform and double Sumudu transform

Lobachevskii Journal of Mathematics

Volumn 30, Issue 3, 2009, Pages 214-223

  Kilicman A ^a   Gadain, H E ^a  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

Author keywords

Double convolution; Double Laplace transform; Double Sumudu transform; Polynomial coefficients

Indexed keywords

EID: 70349490919     PISSN: 19950802     EISSN: 18189962     Source Type: Journal    
DOI: 10.1134/S1995080209030044     Document Type: Article

References (12)

1. G. L. Lamb, Jr., Introductory Applications of Partial Differential Equations with Emphasis on Wave Propagation and Diffusion (John Wiley and Sons, New York, 1995).
2. Tyn Myint-U., Partial Differential Equations of Mathematical Physics (New York, 1980).
3. Christian Constanda, Solution Techniques for Elementary Partial Differential Equations (New York, 2002).
4. Dean G. Duffy, Transform Methods for Solving Partial Differential Equations (CRC, 2004).
5. N. Sneddon, S. Ulam, and M. Stark, Operational Calculus in Two Variables and its Applications (Pergamon Press Ltd, 1962).
6. Ali Babakhani and R. S. Dahiya, Systems of Multi-Dimenstional Laplace Transformand Heat Equation, 16th conference on Apllied Mathematics, Univ. of Centeral Oklahoma, Electronic Journal of Differential Equations Conf. 07, 25 (2001).
7. Yu. A. Brychkov, H. J. Glaeske, A. P. Prudnikov, and Vu Kim Tuan, Multidimensional Integral Transformations (Gordon and Breach Science Publishers, 1992).
8. A. Thelma, Estrin, and Thomas James Higgins, The Solution of Boundary Value Problems By Multiple Laplace Transformation, Journal of the Franklin Institute, 252(2) (1951), 153-167.
9. H. Eltayeb and A. Ki{dotless}li{dotless}çman, A Note on Solutions of Wave, Laplace's and Heat Equations with Convolution Terms by Using Double Laplace Transform: Appl, Math, Lett. 21(12) (2008), 1324-1329.
10. M. Jean Tchuenche and Nyimvua S. Mbare, An Application of the double Sumudu Transform, Applied Mathematical Sciences 1(1), 31 (2007).
11. A. Ki{dotless}li{dotless}çman and Hassan Eltayeb, Double Laplace transform and double Sumudu transform for solving partial differential equations, 13th international congress on computational and applied mathematics (Ghent, Belgium, July 7-11, 2008).
12. A. Ki{dotless}li{dotless}çman and H. Eltayeb, A Note on Defining Singular Integral as Distribution and Partial Differential Equations with Convolution term: Mathematics and Computer Modeling. 49 (2009), No. 1-2, 327-336.