IN

Ignatius N. Njoseh

Department of Mathematics, Delta State University, Abraka, Nigeria.

5 Publications
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Publications 5

1
Research Article Vol. 32, Issue 1

Numerical Solution of a Generalized Fractional Burgers Diffusion Equation with Mamadu-Njoseh Polynomials

Emmanuel O. Oduselu-Hassan*, Ignatius N. Njoseh

In this paper, we consider the numerical solution of a generalized fractional Burgers diffusion equation (GFBE). A fractional variational iteration scheme coupled with Mamadu-Njoseh polynomials was developed to effectively solve the GFBE. MAPLE 18 software was used to carry out numerical simulations and approximations. Resulting numerical evidences...

2
Research Article Vol. 25, Issue 1

Variation Iteration Decomposition Method for the Numerical Solution of Integro-Di erential Equations

Ignatius N. Njoseh*, Ebimene J. Mamadu

This paper seeks the numerical solution of integro-differential equations via the variation iteration decomposition method (VIDM). The mode of convergence of this method as applied toIntegro-differential equations is determined by the step-size parameter, h. The approximate solution converges for h  105+n where n is the number of iterations. Simil...

3
Research Article Vol. 25, Issue 1

Modified Variational Homotopy Perturbation Method for Nonlinear Volterra Integro-differential Equations

Ignatius N. Njoseh*, Ebimene J. Mamadu

In this paper, we apply the Modified Variational Homotopy Method (MVHPM) for the numerical solution of nonlinear Volterra integro-differential equations. The method is an elegant mixture of Variational Iteration and Homotopy Perturbation Methods. The modification is effected at the approximation stage. This modification is the addition of the coec...

4
Research Article Vol. 23, Issue 1

Crank-Nicolson Galerkin Error Estimates for Linear Stochastic Wave Equation driven by Space-Time White Noise

Ignatius N. NJOSEH*

We considered the linear stochastic wave equation driven by space-time white noise. The Galerkin finite element method was used to derive the approximate solution. For the time discretization, we applied the Crank-Nicolson finite di erence approximation scheme and the error estimates were proved both in the L2 and maximum norms.

5
Research Article Vol. 23, Issue 1

Error Estimates of the Fully Discrete Solution of Linearized Stochastic Cahn-Hilliard Equation

Ignatius N. NJOSEH*, H. I. OJARIKRE

We studied the finite element analysis of the linearized Stochastic Cahn-Hilliard equation. The Galerkin finite element method was used to discretize the given equation. Based on the finiteelements, the completely discrete approximation scheme was formulated by applying the backward Euler difference approximation in time. The completely discrete so...

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