Paper Title :Numerical Solution of Ordinary Differential Equations and Applications

Author :Gadamsetty Revathi

Article Citation :Gadamsetty Revathi , (2017 ) " Numerical Solution of Ordinary Differential Equations and Applications " , International Journal of Management and Applied Science (IJMAS) , pp. 1-5, Volume-3,Issue-2

Abstract : In this paper, we introduce various numerical methods for the solution of ordinary differential equations and applications. We consider the general first order differential equation / = ( , ) with the initial condition y(x 0 ) =y 0. We can solve the ordinary differential equations by using the following methods. i) Taylor series Method, ii) Picard Method, iii) Euler Method, iv) Modified Euler Method & v) Runge-Kutta Method Keywords— Ordinary Differential Equation, Analytical Method, Closed-Form Solution, Initial Condition, Step-By-Step Methods, Marching Methods, Independent Variable, Dependent Variable, Interval, Range, Finite Differences, Starting Values, Initial Value Problems, Boundary Value Problems.

Type : Research paper

Published : Volume-3,Issue-2

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