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A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions
Author(s) -
Modanli Mahmut,
Abdulazeez Sadeq Taha,
Husien Ahmad Muhamad
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22683
Subject(s) - residual , mathematics , series (stratigraphy) , power series , taylor series , convergence (economics) , hyperbolic partial differential equation , partial differential equation , reliability (semiconductor) , representation (politics) , method of mean weighted residuals , partial derivative , mathematical analysis , power (physics) , algorithm , finite element method , paleontology , physics , quantum mechanics , biology , galerkin method , politics , political science , law , economics , economic growth , thermodynamics
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.