This paper studies a novel technique based on the use of two effective methods like modified Laplace- variational method (MLVIM) and a new Variational method (MVIM)to solve PDEs with variable coefficients. The current modification for the (MLVIM) is based on coupling of the Variational method (VIM) and Laplace- method (LT). In our proposal there is no need to calculate Lagrange multiplier. We applied Laplace method to the problem .Furthermore, the nonlinear terms for this problem is solved using homotopy method (HPM). Some examples are taken to compare results between two methods and to verify the reliability of our present methods.
Altaie,H O . (2020). Two Efficient Methods For Solving Non-linear Fourth-Order PDEs. International Journal of Nonlinear Analysis and Applications, 11(Special Issue), 543-546. doi: 10.22075/ijnaa.2020.4751
MLA
Altaie,H O . "Two Efficient Methods For Solving Non-linear Fourth-Order PDEs", International Journal of Nonlinear Analysis and Applications, 11, Special Issue, 2020, 543-546. doi: 10.22075/ijnaa.2020.4751
HARVARD
Altaie H O. (2020). 'Two Efficient Methods For Solving Non-linear Fourth-Order PDEs', International Journal of Nonlinear Analysis and Applications, 11(Special Issue), pp. 543-546. doi: 10.22075/ijnaa.2020.4751
CHICAGO
H O Altaie, "Two Efficient Methods For Solving Non-linear Fourth-Order PDEs," International Journal of Nonlinear Analysis and Applications, 11 Special Issue (2020): 543-546, doi: 10.22075/ijnaa.2020.4751
VANCOUVER
Altaie H O. Two Efficient Methods For Solving Non-linear Fourth-Order PDEs. IJNAA. 2020;11(Special Issue):543-546. doi: 10.22075/ijnaa.2020.4751
International Journal of Nonlinear Analysis and Applications