@article{(Open Science Index):https://publications.waset.org/pdf/10005037, title = {Quintic Spline Solution of Fourth-Order Parabolic Equations Arising in Beam Theory}, author = {Reza Mohammadi and Mahdieh Sahebi}, country = {}, institution = {}, abstract = {We develop a method based on polynomial quintic spline for numerical solution of fourth-order non-homogeneous parabolic partial differential equation with variable coefficient. By using polynomial quintic spline in off-step points in space and finite difference in time directions, we obtained two three level implicit methods. Stability analysis of the presented method has been carried out. We solve four test problems numerically to validate the derived method. Numerical comparison with other methods shows the superiority of presented scheme.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {8}, year = {2016}, pages = {379 - 383}, ee = {https://publications.waset.org/pdf/10005037}, url = {https://publications.waset.org/vol/116}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 116, 2016}, }