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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 1 - 3 of 3
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Numerical Solution Of Ordinary Differential Equations Using Continuous Runge-Kutta Methods (Feldberg Of Order Four And Five), Madeha Yousif
Numerical Solution Of Ordinary Differential Equations Using Continuous Runge-Kutta Methods (Feldberg Of Order Four And Five), Madeha Yousif
Emirates Journal for Engineering Research
In this paper the continuous Runge-Kutta method (Runge-Kutta Feldberg method of order four and five) have been used to find the numerical solution of ordinary differential equation not only at the mesh points but also the all points between them. the results are computed using matlab program..
Block And Weddle Methods For Solving Nth Order Linear Retarded Volterra Integro-Differential Equations, Raghad Kadhim Salih
Block And Weddle Methods For Solving Nth Order Linear Retarded Volterra Integro-Differential Equations, Raghad Kadhim Salih
Emirates Journal for Engineering Research
A proposed method is presented to solve nth order linear retarded Volterra integro-differential equations (RVIDE's) numerically by using fourth-order block and Weddle methods. Comparison between numerical and exact results has been given in numerical examples for conciliated the accuracy of the results of the proposed scheme.
Numerical Solution For Solving Two-Points Boundary Value Problems Using Orthogonal Boubaker Polynomials, Imad Noah Ahmed
Numerical Solution For Solving Two-Points Boundary Value Problems Using Orthogonal Boubaker Polynomials, Imad Noah Ahmed
Emirates Journal for Engineering Research
In this paper, a new technique for solving boundary value problems (BVPs) is introduced. An orthogonal function for Boubaker polynomial was utilizedand by the aid of Galerkin method the BVP was transformed to a system of linear algebraic equations with unknown coefficients, which can be easily solved to find the approximate result. Some numerical examples were added with illustrations, comparing their results with the exact to show the efficiency and the applicability of the method.