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A Residual Power Series Technique for Solving Systems of Initial Value Problems |
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PP: 765-775 |
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doi:10.18576/amis/100237
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Author(s) |
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Shaher Momani,
Omar Abu Arqub,
Ma’mon Abu Hammad,
Zaer S. Abo-Hammour,
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Abstract |
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| In this article, a residual power series technique for the power series solution of systems of initial value problems is
introduced. The new approach provides the solution in the form of a rapidly convergent series with easily computable components
using symbolic computation software. The proposed technique obtains Taylor expansion of the solution of a system and reproduces
the exact solution when the solution is polynomial. Numerical examples are included to demonstrate the efficiency, accuracy, and
applicability of the presented technique. The results reveal that the technique is very effective, straightforward, and simple. |
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