Solutions to nonlinear pseudo hyperbolic partial differential equations with nonlocal conditions by using residual power series method
1Department of Mathematics, College of Basic Education, University of Duhok, Duhok, 42001, Iraq; Department of Mathematics, College of Basic Education, University of Duhok, Duhok, 42001, Iraq
2Department of Mathematics, Faculty of Arts and Sciences, Harran University, 63300, Sanliurfa, Türkiye
3Department of Mathematics, College of Science, University of Duhok, Duhok, 42001, Iraq
2Department of Mathematics, Faculty of Arts and Sciences, Harran University, 63300, Sanliurfa, Türkiye
3Department of Mathematics, College of Science, University of Duhok, Duhok, 42001, Iraq
Sigma J Eng Nat Sci 2023; 41(3): 488-492 DOI: 10.14744/sigma.2023.00055
Abstract
In this paper, new solutions to nonlinear pseudo-hyperbolic equations with non-local con-ditions by residual power series (RPS) method is given. This method is based on the Taylor series formula and the residual error function. A new analytical solution to this equation is given. As an applications we have tested some examples to know the efficiency of current technique. The results obtained showed that the proposed method is effective, accurate and has fast convergent.
Keywords: Nonlinear Pseudo Hyperbolic Equations; Partial Differential Equation; Residual Power Series Method; Analytical Solutions; Exact Solutions
