Yajni Warnapala

Modeling COVID-19 Pandemic by the \(\lambda\)ISR Volterra-Fredholm Integral Equation: A Case Study of South Africa

Yajni Warnapala & Kate Gilbert · Journal of Advances in Mathematics and Computer Science · 2023

Inspired by the COVID-19 pandemic, this paper investigates the feasibility of obtaining good convergence results for a nonhomogeneous Volterra-Fredholm integral equation model of the second kind. Volterra-Fredholm integral equations are often used to model infection and recovery...

Open access Research Article 10.9734/jamcs/2023/v38i41752

Modeling the Diffraction of Electromagnetic Waves over Underwater Objects; the Wiener-Hopf Integral Equation

Yajni Warnapala & Cole Foster · Journal of Advances in Mathematics and Computer Science · 2020

This research, inspired by the loss of Malaysian Airline Flight 370, investigates the feasibility of obtaining good convergence results for a model of the interaction of electromagnetic waves over the surface of the Spherical Biconcave Disc. The Galerkin Method is used to numeric...

Open access Research Article 10.9734/jamcs/2020/v35i430276

The Modified Galerkin Method for the Modified Wave Equation for the Shape of Superellipsoid

Yajni Warnapala & Hy Dinh · Journal of Advances in Mathematics and Computer Science · 2014

The objective of this work was to find the numerical solution of the Impendence problem for the Helmholtz equation for a smooth superellipsoid. The superellipsoid is a shape that is controlled by two parameters. There are some numerical issues in this type of an analysis; any int...

Open access Research Article 10.9734/BJMCS/2014/11580