A coupling technique based on method of line and group preserving scheme for solving the nonlinear wave equation. Issue 3 (3rd April 2021)

• Record Type: Journal Article
• Authors: Partohaghighi, Mohammad; Hesameddini, Esmail; Inc, Mustafa
• Is Part Of: Journal of information & optimization sciences. Volume 42:Issue 3(2021)
• Page Start: 579
• Page End: 589
• Publication Date: 2021-04-03
• Subjects: 35L05 -- 35J05 -- 35F15 -- 35N05 -- 65M22; Group preserving scheme -- Nonlinear wave equation -- Line method; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2020.1758368
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: In this work, a powerful approach is presented to solve the nonlinear wave equation (NWE): utt ( x, t ) − u ( x, t ) uxx ( x, t ) = g ( x, t ), where c is a positive constant. Firstly, a discretization is implemented on the original equation. Then, a geometric technique is applied to obtain the approximate solutions. Some examples are displayed to prove the power and capability of the offered approach to work out the wave problem.