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
