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Modanli, Mahmut; Abdulazeez, Sadeq Taha; Husien, Ahmad Muhamad

A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions. (English) Zbl 07776068

Numer. Methods Partial Differ. Equations 37, No. 3, 2235-2243 (2021).
Summary: This article will give the residual power series method (RPSM) for solving pseudo hyperbolic partial differential equations with nonlocal conditions, RPSM is essentially based on general formula of Taylor series with residual error function. A new analytical solution is investigated. The analytical solution is designed to find the approximation solutions by RPSM and compare the obtained results from the current method with the exact solution that detects the precision, reliability, and rapid convergence of the proposed method. Finally at different times through the graphical representation of obtained results are given.
{© 2020 Wiley Periodicals LLC.}

Cited in 3 Documents

MSC:

65-XX Numerical analysis
35-XX Partial differential equations

Keywords:

analytical solutions; exact solutions; pseudo hyperbolic equations; residual power series method
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References:

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