A Reliable Analytical Method for Solving Higher-Order Initial Value Problems

By Omar Abu Arqub, Za'er Salim Abo-Hammour, Ramzi B. Albadarneh, Shaher Momani. 2013

115 citations recorded by the source corpus.

In this article, a new analytical method has been devised to solve higher-order initial value problems for ordinary differential equations. This method was implemented to construct a series solution for higher-order initial value problems in the form of a rapidly convergent series with easily computable components using symbolic computation software. The proposed method is based on the Taylor series expansion which constructs an analytical solution in the form of a polynomial and reproduces the exact solution when the solution is polynomial. This technique is applied to a few test examples to illustrate the accuracy, efficiency, and applicability of the method. The results reveal that the method is very effective, straightforward, and simple.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7e025eafb579d4f3f6ba98c91b20644113946db9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

An Optimization Algorithm for Solving Systems of Singular Boundary Value Problems (2014, background): “On the other hand, the numerical solvability of other version of differential equations and other related equations can be found in [34,35,36,37,38, 39,40] and references therein.”