in this paper two different methods are presented to approximate the solution of the fractional black-scholes equation for valuation of barrier option. also, the two schemes need less computational work in comparison with the traditional methods. in this work, we propose a new generalization of the two-dimensional differential transform method and decomposition method that will extend the appli...

We present a set of methods to enable a cross-domain reuse of problem solutions via analysis patterns. First, problem-context descriptions and problemcontext models as well as solution models are used to express the domainspecific problems and their assigned solutions. After that, the two-step abstraction method is used to create cross-domain analysis patterns for the problemcontext models as w...

Over the last decade, application development has depended largely on the use-case driven OO software engineering methodology (http://www.aw.com/catalog/ academic/product/1,4096,0201544350,00.html) along with the many patterns for designing reusable software (http://www.awprofessional.com/catalog/ product.asp?product_id={E1CD5BE7-E008-481B-8D0C-8E80CE9978F9}.) Most of the innovations during thi...

class implemented_by Image Display (applying the Bridge pattern) displayed_on Display ImageImpl1 Figure 1. An example of pattern-based model refactoring. ConcreteImpB ConcreteImpA Implementor RefinedAbstraction Abstraction implemented_by Figure 2. A diagram of the Bridge pattern. tion of the UML designs representing solutions of the pattern Transformation specification: a specification of probl...