文献类型： 会议论文

第一作者： Jun Zhang

作者： Jun Zhang ¹ ; Ruzong Fan ² ; Fangyang Shen ³ ;

作者机构： 1.Department of Computer Science and Engineering Technology, University of Maryland Eastern Shore, Princess Anne, MD, USA

2.Department of Biostatistics, Bioinformatics, and Biomathematics Georgetown University, Washington, DC, USA

3.Dept. of Computer Systems Technology New York City College of Technology, City University of New York, Brooklyn, NY, USA

关键词： Laplace equations;Scientific computing;Mathematical analysis;Integral equations;Transforms;Ordinary differential equations;Problem-solving

会议名称： International Conference on Computational Science and Computational Intelligence

主办单位：

页码： 494-499

摘要： The Laplace Transform has been widely used for about two centuries in problem solving in mathematics, engineering and sciences. The Sumudu Transform is very recent, it is as powerful as the Laplace Transform and has many nice features. Traditionally, when these transforms are used, the calculations of the inverse transforms are necessary; unfortunately, the calculations of Inverse Laplace Transform and Inverse Sumudu Transform are problematic and challenging. The authors studied Sumudu Transform in the computational approaches. We shall introduce a few novel algorithms on the computations of Inverse Sumudu Transform and Inverse Laplace Transform in this paper. The algorithms introduced here are straightforward to understand and powerful for problem solving, and some demo versions were implemented in the Maple Computer Algebra Systems. Type: Full / Regular Research Paper for CSCI-RTCS

分类号： tp3-53