Researcher Mahmoud Taher Ibrahim, a student in Applied Mathematics program at Faculty of Graduate Studies at Arab American University, defended his master degree thesis entitled “The Legendre Wavelet Method for Solving Nonlinear Equations”.
The researcher analyzed the Legendre two-variable method to solve Volterra's nonlinear integrative equation of single, binary and three-dimensional. Pointing, the Legendre two-shifting-variable method was studied in detail. He founded some formulas related to Volterra three-dimensional integrative equation. In order to find an approximate solution Volterra equation was converted from type I to type II to reach a linear system of algebraic equations. The researcher presented numerical examples to illustrate the method and its accuracy.
By the end, the committee of the thesis supervisor and head of committee Dr. Abdul Halim Ziqan, Arab American University Internal Examiner DR. Eyad Sawan and External Examiner from An-Najah University Dr. Mohammad Najeeb, decided to give the student Mahmoud Ibrahim a master degree.