• Ratesh Kumar

Current article proposes a hybrid technique based upon the θ-weighted differencing and Haar scale 3 wavelets for the solution of (2+1)-dimensional non-linear partial differential equations such as Sobolev and BBMB (Benjamin–Bona–Mahony–Burgers) Equations etc. In this scheme, time discretization is done by the θ-weighted finite differencing scheme and spatial discretization is done by 2D-Haar scale 3 wavelets. The quasilinearization process is used wherever we encountered with the non-linearity in the equations. The proposed scheme is tested on some nonlinear equations of above said types to establish the competency of the proposed scheme.

Haar scale 3 wavelets, Theta weighted finite difference, Quasilinearization, Partial differential Equations (65L10)

"New Scheme for the Solution of (2+1)-Dimensional Non-Linear Partial Differential Equations Using 2D-Haar Scale 3 Wavelets and θ-Weighted Differencing", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.194-203, January 2019, Available :http://www.jetir.org/papers/JETIRDY06031.pdf

"New Scheme for the Solution of (2+1)-Dimensional Non-Linear Partial Differential Equations Using 2D-Haar Scale 3 Wavelets and θ-Weighted Differencing", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp194-203, January 2019, Available at : http://www.jetir.org/papers/JETIRDY06031.pdf