the spline collocation method  is employed to solve a system of linear and nonlinear fredholm and volterra integro-differential equations. the solutions are collocated by cubic b-spline and the integrand is approximated by the newton-cotes formula. we obtain the unique solution for linear and nonlinear system $(nn+3n)times(nn+3n)$ of integro-differential equations. this approximation reduces th...

flood disaster is considered as a major natural hazard due to its devastatingeffects on the affected areas. determining the flood vulnerable areas is important fordecision makers in order to perform planning and management activities. geographicalinformation system (gis) is integrated with multi criteria decision analysis (mcda)used to analyze the flood vulnerable areas. the aim of this researc...

competition between the managers of industrial and service organizations to provide their financial needs and credit facilities via the bank's loan is growing daily. other hand, financial resources and credit of banks and financial institutions to provide accommodations to applicants is limit. accordingly the optimal allocation of limit financial resources with the aim of making the maximu...

we introduce a new solution for kawahara-kdv equations. the lie group analysis is used to carry out the integration of this equations. the similarity reductions and exact solutions are obtained based on the optimal system method.

Expression is the most basic personality trait of an individual. Expressions, ubiquitous to humans from all cultures, can be pivotal in analyzing which not confined boundaries. Analyzing changes expression individual bolster process deriving his/her traits underscoring paramount reactions like anger, happiness, sadness and so on. This paper aims exercise Neural Network algorithms predict facial...