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Here we present an algorithm for approximating numerical solution of Korteweg–de Vries (KdV) equation in a modified B-polynomial basis. A set of continuous polynomials over the spatial domain is used to expand the desired solution requiring discretization with only the time variable. Galerkin method is used to determine the expansion coefficients to… (More)
Muhammad I. Bhatti and Warren F. Perger 1 Department of Physics and Geology, University of Texas Pan American, Edinburg, TX 78539, USA 2 Departments of Electrical Engineering and Physics, Michigan Technological University, Houghton, MI 49931-1295, USA Abstract An algorithm is given for constructing accurate solutions to the radial Dirac equation in a… (More)
In this paper we develop the theory of almost periodic functions defined on R with values in fuzzy setting. AMS (MOS) Subject Classification: Primary 05C38, 15A15; Secondary 05A15, 15A18.
Modeling infectious diseases helped out to understand and overcome epidemics. This paper is based on epidemic model SIR, which fits well to many epidemiological diseases. Basic idea of Homotopy Analysis Method (HAM)is discussed and employed to compute an approximation to the solution of nonlinear system of differential equations. The effect of vaccination… (More)
The article describes ISNAP, a program for calculating atomic properties that uses an integrated symbolic and numerical approach for arbitrary excitations from closed-shell atoms. This program generates transition matrix elements and energy formulas up to third-order perturbation via the symbolic programming language Mathematica.