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Patrick Azere Phiri

Publications (3)

The Fornberg-Whitham Equation Solved by the Differential Transform Method

Helena Nayar & Patrick Azere Phiri · Journal of Advances in Mathematics and Computer Science · 2020

The Differential Transform Method is a powerful analytical method that can solve nonlinear partial differential equations. Yet, the method cannot be used to solve time-dependent partial differential equations that involve more than one partial derivative with respect to the tempo...

Open access Research Article 10.9734/jamcs/2020/v35i730306

Solution of Two-Point Linear and Nonlinear Boundary Value Problems with Neumann Boundary Conditions Using a New Modified Adomian Decomposition Method

Justina Mulenga & Patrick Azere Phiri · Journal of Advances in Mathematics and Computer Science · 2020

In this paper, we present the New Modified Adomian Decomposition Method which is a modification of the Modified Adomian Decomposition Method. The new method incorporates the inverse linear operator theorem into the modified Adomian decomposition method for the calculation of u0....

Open access Research Article 10.9734/jamcs/2020/v35i730303

The Solution of Linearised Korteweg-de Vries Equation Using the Differential Transform Method

Helena Nayar & Patrick Azere Phiri · Journal of Advances in Mathematics and Computer Science · 2018

This paper considers the Differential Transform Method (DTM) for solving partial differential equations. The two-dimensional form of the method is used to solve a linear partial differential equation, a linearised version of the Korteweg-de Vries equation. The solutions are verif...

Open access Research Article 10.9734/JAMCS/2018/39586