TY - JOUR AU - Ali, Hazrat AU - Islam, Md Shafiqul PY - 2018/02/20 Y2 - 2024/03/29 TI - Generalized Galerkin Finite Element Formulation for the Numerical Solutions Of Second Order Nonlinear Boundary Value Problems JF - GANIT: Journal of Bangladesh Mathematical Society JA - GANIT: J. Bangladesh Math. Soc. VL - 37 IS - 0 SE - Articles DO - 10.3329/ganit.v37i0.35733 UR - https://www.banglajol.info/index.php/GANIT/article/view/35733 SP - 147-159 AB - <p>We use Galerkin finite element method (GFEM) to solve second order linear and nonlinear boundary value problems (BVPs). First we develop FEM formulation for a class of linear and nonlinear BVPs. Then we present convergence analysis of the method. Later, we give the solution of some nonlinear BVPs with <em>Diritchlet, Neumann </em>and <em>Robin </em>boundary conditions. All results are compared with the exact solution and sometimes with the results of the existing method to verify the convergence, stability and consistency of this method. The results are depicted graphically as well as in the tabular form.</p><p>GANIT <em>J. Bangladesh Math. Soc.</em>Vol. 37 (2017) 147-159</p> ER -