论文信息 - AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM

AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM

The double Sumudu transform of functions expressible as polynomials or convergent infinite series are derived. The relationship of the former to the double Laplace transform is obtained, and it turns out that they are theoretical dual to each other. The applicability of this relatively new transform is demonstrated using some special functions, which arise in the solution of evolution equations of population dynamics as well as partial differential equations.

Jean M. Tchuenche | Nyimvua S. Mbare

[1] A. A. Karaballi,et al. Sumudu transform fundamental properties investigations and applications. , 2006 .

[2] Muniru A. Asiru,et al. Sumudu transform and the solution of integral equations of convolution type , 2001 .

[3] Muniru A. Asiru,et al. Further properties of the Sumudu transform and its applications , 2002 .

[4] Shyam L. Kalla,et al. ANALYTICAL INVESTIGATIONS OF THE SUMUDU TRANSFORM AND APPLICATIONS TO INTEGRAL PRODUCTION EQUATIONS , 2003 .

[5] I. N. Sneddon. The use of integral transforms , 1972 .

[6] Sunethra Weerakoon,et al. Application of Sumudu transform to partial differential equations , 1994 .

[7] G. K. Watugala,et al. Sumudu Transform - a New Integral Transform to Solve Differential Equations and Control Engineering Problems , 1992 .