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2018•Annals of Pure and Applied MathematicsOpen access

A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations

Gulshan, Dhaka, Md. Kamruzzaman, Md. Mehedi Hasan

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Abstract

In this article, we developed a new numerical approach which is mainly concentrates to solve some complicated initial value problems of ordinary differential equations.The complete breakdown of this new approach derivation is presented here.In our future work, we will examine on the main properties of the technique namely consistency, convergence and feasibility.The expansion of this new numerical scheme shall be worked-on and comparison is also be made with some existing methods.

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What this paper is about

In this article, we developed a new numerical approach which is mainly concentrates to solve some complicated initial value problems of ordinary differential equations.The complete breakdown of this new approach derivation is presented here.In our future work, we will examine on the main properties of the technique namely consistency, convergence and feasibility.The expansion of this new numerical scheme shall be worked-on and comparison is also be made with some existing methods.

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Available abstract

In this article, we developed a new numerical approach which is mainly concentrates to solve some complicated initial value problems of ordinary differential equations.The complete breakdown of this new approach derivation is presented here.In our future work, we will examine on the main properties of the technique namely consistency, convergence and feasibility.The expansion of this new numerical scheme shall be worked-on and comparison is also be made with some existing methods.

Key concepts: Ordinary differential equation, Convergence (economics), Mathematics, Numerical methods for ordinary differential equations, Consistency (knowledge bases), Initial value problem, Numerical analysis, Applied mathematics

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