1. Solutions To The Dirichlet Nonlinear Parabolic Problem In Weighted Sobolev Spaces

    Mohammed Ali Al-Hawmi, Omar Mohammed Abdullah Al-haj

    Department of Mathematics, Faculty of Education and Science, University of Saba Region, Marib, Yemen.

    Abstract:

     

    Keywords: Weighted Sobolev spaces, Boundary Value problems, Truncations, Parabolic problems, a time mollification sequence, strongly solutions.

    Pages: 167 – 206 | Full PDF Paper

  2. Solving The system of first and second order ordinary Differential Equation by Adomian decomposition method

    Abdo Ebrahim Ali Mohammed, Yahya Qaid Hasan

    Department of Mathematics, Faculty of Education and Science, University of Saba Region, Marib, Yemen.

    Abstract:

    In this paper, we study the use of the Adomian decomposition method (ADM) to solve the system of first and second order ordinary Differential Equation. We show that the ADM can be used to obtain a series solution for the system of equations. We display the examples using the Adomian decomposition method, and show that the ADM is a more efficient and accurate method.

    Keywords: Adomian decomposition method, system of first order ordinary differential, system of second order ordinary differential, equation from first kind, weight function.

    Pages: 207 – 217 | Full PDF Paper