文献类型： 会议论文
第一作者： Ruzong Fan
作者： Ruzong Fan 1 ; Jun Zhang 2 ; Willie Brown 3 ;
作者机构： 1.Department of Biostatistics, Bioinformatics, and Biomathematics, Georgetown University, Washington, DC, USA
2.Department of Computer Science and Engineering Technology, University of Maryland Eastern Shore, Princess Anne, MD, USA
3.Department of Engineering and Aviation Sciences, University of Maryland Eastern Shore, Princess Anne, MD, USA
关键词： Computer science;Laplace equations;Codes;Scientific computing;Difference equations;Transforms;Mathematical models
会议名称： International Conference on Computational Science and Computational Intelligence
主办单位：
页码： 427-432
摘要： Difference Equations appear very often in discrete mathematics and computational science, as they describe how the future values of a system depend on their past values. Solving such equations is a very important task; Laplace transform has a long history and was used for solving difference equations. Although Laplace transform is useful in that regard, it suffers a serious drawback, which is the calculation of inverse Laplace transform. Such kind of inverse calculation is problematic or simply impossible in general. Sumudu transform is an integral transform which was introduced recently, with new and powerful features. In this work, we will explain that Sumudu transform can be used to solve difference equations in the same manner as Laplace transform. More importantly, new computational methods will be proposed to solve difference equations, differential-difference equations, and integro-differential-difference equations; these new methods combine both Laplace transform and Sumudu transform such that there is no calculation of the inverse transform. Demonstration code is provided to show that the methods can be implemented in computer algebra systems such as Maple to solve a wide range of equations automatically.
分类号： tp3-53
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