ABSTRACT
Steady-state problems in Engineering and Applied Science can be modelled in a way that requires the solution of differential or integro-different in equations, involving the Laplacian equation. Numerical procedures instead of variation and analytical tecniques) are often applied through the finite difference approximations among other techniques. In this research, the finite-difference expressions for two two, three and n-dimensional Laplacian operator based on linear, quadratic and cubic polynomial models of the unknown scalar field are derived by applying a generalised technique developed for the finite dimensional Euclidean spaces. The procedure makes use of divergence theorem in a form involving a set of Generalised Barrycentric Co-ordinates and Vector Basis Functions which are constructed for any given triangulation of polygon, polyhedral or polytope approximation for the riven dimensional domain.
SIKIRU, B (2021). Finite Difference Approximation Methods For Systems Of Laplacian Equation. Afribary. Retrieved from https://afribary.com/works/finite-difference-approximation-methods-for-systems-of-laplacian-equation
SIKIRU, BABADIPE "Finite Difference Approximation Methods For Systems Of Laplacian Equation" Afribary. Afribary, 04 May. 2021, https://afribary.com/works/finite-difference-approximation-methods-for-systems-of-laplacian-equation. Accessed 22 Nov. 2024.
SIKIRU, BABADIPE . "Finite Difference Approximation Methods For Systems Of Laplacian Equation". Afribary, Afribary, 04 May. 2021. Web. 22 Nov. 2024. < https://afribary.com/works/finite-difference-approximation-methods-for-systems-of-laplacian-equation >.
SIKIRU, BABADIPE . "Finite Difference Approximation Methods For Systems Of Laplacian Equation" Afribary (2021). Accessed November 22, 2024. https://afribary.com/works/finite-difference-approximation-methods-for-systems-of-laplacian-equation