A novel wavelet based hybrid method for finding the solutions of higher order boundary value problems

• Main Authors: Geeta Arora, Ratesh Kumar, Harpreet Kaur
• Format: Article
• Language: English
• Published: Elsevier 2018-12-01
• Series: Ain Shams Engineering Journal
• Online Access: http://www.sciencedirect.com/science/article/pii/S2090447918300066

In this paper, a new wavelet based hybrid method is developed for obtaining the solution of higher order linear and nonlinear boundary value problems. The proposed method is based on approximation of solution by non-dyadic wavelets family with dilation factor 3. Discretization of domain is done by collocation method. The nonlinearities in boundary value problems are tackled by Quasi-linearization technique. Eleven numerical experiments are performed on linear and nonlinear boundary value problems with order ranging from eighth to twelfth to prove the successful application of the proposed method. Also, the obtained solutions are compared with exact and numerical solutions available in the literature to prove the efficiency of the method over other methods. Keywords: Non-dyadic wavelets, Quasi-linearization, Collocation method and boundary value problems (65L10)