Implicit Exponentially Fitted Hybrid Method for Special Second Order Initial Value Problems

Kaedah Penyuaian Eksponen Hibrid Tersirat bagi Masalah Nilai Awal Khas Peringkat Kedua

Authors

  • Faieza Samat Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjung Malim, Perak, Malaysia

Keywords:

hybrid method, exponentially fitted, second order initial value problems, numerical solution

Abstract

An implicit exponentially fitted hybrid method is developed for solving special second order initial value problems. The coefficients of the new method are functions of step-size and the frequency of the problems. The stability region of the method is given. Numerical comparisons on several problems with exponential solutions demonstrate that the new method gives better accuracy compared to the existing method.

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References

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Published

2013-12-18

How to Cite

Samat, F. (2013). Implicit Exponentially Fitted Hybrid Method for Special Second Order Initial Value Problems: Kaedah Penyuaian Eksponen Hibrid Tersirat bagi Masalah Nilai Awal Khas Peringkat Kedua. Journal of Science and Mathematics Letters, 1, 9–17. Retrieved from https://ojs.upsi.edu.my/index.php/JSML/article/view/4301