Wavelet based Numerical Solution for Falkner-Skan Equation Sripathy B.*, Vijayaraju P.**, Hariharan G.*** *Department of Mathematics, College of Engineering Guindy, Anna University, Chennai, India. sripathy51180@gmail.com **Department of Mathematics, College of Engineering Guindy, Anna University, Chennai, India. vijay@annauniv.edu ***Department of Mathematics, School of Humanities and Sciences, Sastra Univeristy, Thanjavaur, India. hariharan@maths.sastra.edu Online published on 23 March, 2017. Abstract In this paper, the shifted second kind Chebyshev wavelets(SSKCW) are employed for solving the Falkner-Skan equation. For this purpose, the operational matrices of derivatives for shifted second kind Chebyshev wavelets are derived. The method have been derived by first truncating the semi-infinite physical domain of the problem to a finite domain and expanding the shifted second kind Chebyshev wavelets along with these operational matrices for solving Falkner-Skan equations. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Moreover, by using the given boundary conditions in the problem, a stable solution with very good results can be obtained. The proposed method is evaluated by solving different versions of Falkner-Skan equations. Numerical results shows higher efficiency and performance of the presented method in comparison with the conventional methods. From the computational viewpoint, the solutions obtained by this method is in excellent agreement with those obtained by previous works and efficient to use. Top Keywords Multiresolution Analysis, Chebyshev wavelets, Operational matrix. Top |