New Numerical Methods for Solving Differential Equations

  • Osama. Y. Ababneh Zarqa University
Keywords: Ordinary Differential Equations, Numerical Method, Iterative Method

Abstract

In this paper, we present new numerical methods to solve ordinary differential equations in both linear and nonlinear cases. we apply Daftardar-Gejji technique on theta-method to derive anew family of numerical method. It is shown that the method may be formulated in an equivalent way as a RungeKutta method. The stability of the methods is analyzed.

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Author Biography

Osama. Y. Ababneh, Zarqa University

Department of Mathematics, Faculty of Science Zarqa University, Zarqa, Jordan

References

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Published
2019-01-31
How to Cite
Ababneh, O. Y. (2019). New Numerical Methods for Solving Differential Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8384- 8390. https://doi.org/10.24297/jam.v16i0.8280
Section
Articles