@article{MODEBEI_ADENIYI_JATOR_2020, title={NUMERICAL APPROXIMATIONS OF FOURTH-ORDER PDES USING BLOCK UNIFICATION METHOD}, volume={39}, url={https://ojs.ictp.it/jnms/index.php/jnms/article/view/544}, abstractNote={In this paper, a continuous linear multistep method is derived and used to formulate a block unification method (BUM), which is applied to solve fourth-order PDEs with appropriate initial and boundary conditions. Specifically, the method is used to solve the fourth order PDEs by first converting the PDEs into system of fourth-order ordinary differential equations (ODEs) via the method of lines, by replacing one of the variables with a finite difference method. The convergence properties of the method is discussed and some test problems are presented to demonstrate the accuracy of the method.}, number={1}, journal={Journal of the Nigerian Mathematical Society}, author={MODEBEI, M. I. and ADENIYI, R. B. and JATOR, S. N.}, year={2020}, month={May}, pages={47–68} }