In basic homological algebra, projective,injective and flat modules play an important and fundamental role. Therefore, through-out this document we discuss some properties of Gorenstein projective, injective and flat ...

Bernoulli numbers and Bernoulli polynomials are named after the Swiss mathematician Jacob Bernoulli (1654-1705). He introduced these numbers and polynomials in his book Ars Conjectandi, published posthumously (Basel, ...

In this thesis, the solution of fractional diffusion equation us ing Variational iteration method was successfully implemented in Gamma function and Mittag-Leffler function subjected to re currence relation. A numerical ...

In this thesis, some almost injective modules and almost projective modules are investigated. We give some new properties of almost injective modules and their endomorphism rings and also provide conditions as to when a ...

This thesis presents a finite element method, Galerkin finite element method that solves the 2D wave equation in (x,y) coordinates and time t. The Galerkin formulation is used to approximate the solution of the 2D wave ...

This thesis focuses on solving two-dimensional elliptic partial differential equations, namely the Laplace and Poisson equations, using the Galerkin finite element method. Elliptic partial differential equation is a class ...

FP-injective modules act in ways similar to injective modules. Therefore, through-out this document we investigate many of these properties of FP-injective modules which are modelled after those similar properties of ...

In this thesis, the solution of a singular second order non linear coupled functional lane-Emden problem is solved by Jacobi collocation Method. Ja cobi collocation method was successfully implemented in Jacobi Polynomial and ...

Genocchi numbers Gn and Genocchi polynomials Gn(x) can be derived respectively by the following exponential generating functions. 2t et + 1 = 1X n =0 Gntn n!; 2tetx et + 1 = 1X n =0 Gn(x)tn n!; (jtj < π) In ...

Equations involving the gamma and hypergeometric functions are of great interest to math ematicians and scientists, and newly proven identities for these functions assist in finding solutions to differential and integral ...