Abstract
Abstract In the current work, a new aspect of the weak form meshless local Petrov–Galerkin method (MLPG), which is based on the particular solution is presented and well-used to numerical investigation of the two-dimensional diffusion equation with non-classical boundary condition. Two-dimensional diffusion equation with non-classical boundary condition is a challenged and complicated model in science and engineering. Also the method of approximate particular solutions (MAPS), which is based on the strong formulation is employed and performed to deal with the given non-classical problem. In both techniques an efficient technique based on the Tikhonov regularization technique with GCV function method is employed to solve the resulting ill-conditioned linear system. The obtained numerical results are presented and compared together through the tables and figures to demonstrate the validity and efficiency of the presented methods. Moreover the accuracy of the results is compared with the results reported in the literature.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.