Related Experiment Video
Updated: Mar 30, 2026

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
Published on: December 1, 2023
A boundary value approach for solving three-dimensional elliptic and hyperbolic partial differential equations
1Department of Mathematics and Computer Science, Jigawa State University, Kafin Hausa, P.M.B 048, Kafin Hausa, Nigeria.
Abstract:
In this article, the boundary value method is applied to solve three dimensional elliptic and hyperbolic partial differential equations. The partial derivatives with respect to two of the spatial variables (y, z) are discretized using finite difference approximations to obtain a large system of ordinary differential equations (ODEs) in the third spatial variable (x). Using interpolation and collocation techniques, a continuous scheme is developed and used to obtain discrete methods which are applied via the Block unification approach to obtain approximations to the resulting large system of ODEs. Several test problems are investigated to elucidate the solution process.
Related Concept Videos
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from...
Geometry of Hyperbolas
Area Problem
Partial Derivatives and Gas Laws
Area Between Curves: Problem Solving

