@article{Alaa Almosawi_Luma N. M. Tawfiq_2020, title={New Approach for Solving Partial Differential Equations Based on Collocation Method}, volume={18}, url={https://rajpub.com/index.php/jam/article/view/8733}, DOI={10.24297/jam.v18i.8733}, abstractNote={<p>In this paper, a new approach for solving partial differential equations was introduced. The collocation method based on LA-transform and proposed the solution as a power series that conforming Taylor series. The method attacks the problem in a direct way and in a straightforward fashion without using linearization, or any other restrictive assumption that may change the behavior of the equation under discussion.</p> <p>Five illustrated examples are introduced to clarifying the accuracy, ease implementation and efficiency of suggested method. The LA-transform was used to eliminate the linear differential operator in the differential equation.</p>}, journal={JOURNAL OF ADVANCES IN MATHEMATICS}, author={Alaa Almosawi and Luma N. M. Tawfiq}, year={2020}, month={May}, pages={118–128} }