This thesis delves into the application of the natural transform method for solving the intricate two-dimensional Newell-Whitehead Segal equation of time fractional order. The exploration begins with a thorough examination ...

We define a convolution-like operator which transforms functions on a space X via func tions on an arithmetical semigroup S, when there is an action or flows of S on X. This operator includes the well known classical ...

In this paper we consider the Zeros of Dirichlet L- Function Over Function Fields. We compute 1- and 2-level statistics of the analogous family of Dirichlet L-functions over Fq(T). Whereas the Hughes-Rudnick results were ...

This work solved 2D unsteady convection-diffusion problems using the Fi nite Volume Method (FVM). FVM is a discretization approach that is espe cially useful for the working out of several conservation laws that are ...

In this thesis, Solution of linear and Nonlinear Fractional Telegraph equation by using Natural Transform Decomposition method was successfully implemented in Adomain polynomial sense and the fractional of order β subjected ...

Partial differential equations (PDEs) play a crucial role in modeling various phenomena in science and engineering, involving multiple independent vari ables and their partial derivatives. Fractional calculus extends the ...

This thesis deals with finding exact analytical solution of two-dimensional nonlinear coupled Sine Gordon equation subjected to initial and boundary conditions using triple Sumudu transform with iterative method. It is ...

In this study, the Finite Volume Method (FVM) was utilized to solve 2D un steady incompressible convection diffusion problems. FVM is a discretization technique particularly suited for the numerical modeling of numerous ...

In this thesis the Boundary Domain Integral Method (BDIEM) is applied to the solution of the nonhomogeneous or homogeneous Helmholtz equation with variable or constant coefficients. This thesis deals with the extension ...

Even though spectral methods have engrossed much of the attention in current research of numerical methods for solving differential equa tions, few experience is obtainable in applying spectral methods to solve boundary ...