Mesh less Method for Solution Of Delay Parabolic Partial Differential Equations

Abstract

In this thesis, we present a numerical method for solving delay differential equations (DDEs). The method utilizes radial basis functions (RBFs). Error analysis is presented for this method. Finally, numerical examples are included to show the validity and efficiency of the new technique for solving DDEs. Therefore, the main goal of this thesis is to find the soluion of delay PDEs and derive some identities involving delay differential equation method with delay. The numerical solutions obtained are compared with exact solutions, showing a high degree of accuracy with absolute errors smaller than 10−5. The study concludes that the RBF method is a robust tool for solving one-dimensional heat equations