On computational analysis of highly nonlinear model addressing real world applications

• Published in: Results in physics Vol. 36; p. 105431
• Main Authors: Ali, Shahid, Khan, Aziz, Shah, Kamal, Alqudah, Manar A., Abdeljawad, Thabet, Siraj-ul-Islam
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.05.2022; Elsevier
• Subjects: Boundary value problems; Coupled nonlinear system; Group-theoretic methods; Haar wavelets; Coupled nonlinear system; Boundary value problems; Group-theoretic methods; Haar wavelets
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.105431

This paper presents a numerical strategy for solving boundary value problems (BVPs) that is based on the Haar wavelets method (HWM). BVPs having high Prandtl numbers are discussed, Because they are very important in many practical problems of science and engineering. By using group-theoretic method, the considered model of partial differential equations (PDEs) are converted to system of nonlinear ordinary differential equations. By using HWM, the numerical results are established. Further, solutions obtained on a coarse resolution with low accuracy is refined towards higher accuracy by increasing the level of resolution. Superiority of the HWM has been established over the commercial software NDSolve and available numerical and approximated methods. •This paper presents a numerical strategy for solving boundary value problems (BVPs).•Method is based on the Haar wavelets method (HWM).•BVPs having high Prandtl numbers are discussed.•By using grouptheoretic method, Considered PDEs are converted to ODEs.•By using HWM, the numerical results are established.•Superiority of the HWM has been established over the commercial software