A brief survey on numerical methods for solving singularly perturbed problems

MK Kadalbajoo, V Gupta - Applied mathematics and computation, 2010 - Elsevier
In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems

J Lin, S Reutskiy - Applied Mathematics and Computation, 2020 - Elsevier
In this work, a new cubic B-spline-based semi-analytical algorithm is presented for solving
3D anisotropic convection-diffusion-reaction (CDR) problems in the inhomogeneous …

A novel radial basis function method for 3D linear and nonlinear advection diffusion reaction equations with variable coefficients

X Tian, J Lin - Engineering with Computers, 2022 - Springer
The radial basis function method for 3D advection diffusion reaction equations with variable
coefficients is presented. The proposed method implements the linear combination of radial …

[HTML][HTML] A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations

RK Mohanty, N Setia - Applied Mathematical Modelling, 2013 - Elsevier
We present a new fourth order compact finite difference scheme based on off-step
discretization for the solution of the system of 3D quasi-linear elliptic partial differential …

[HTML][HTML] A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations

RK Mohanty, V Gopal - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we propose a new high accuracy numerical method of O (k2+ k2h2+ h4) based
on off-step discretization for the solution of 3-space dimensional non-linear wave equation of …

[HTML][HTML] A RBF-based technique for 3D convection–diffusion–reaction problems in an anisotropic inhomogeneous medium

S Reutskiy, J Lin - Computers & Mathematics with Applications, 2020 - Elsevier
We present a RBF-based semi-analytical technique for solving 3D convection–diffusion–
reaction (CDR) equations to model transport in an anisotropic inhomogeneous medium. The …

A continuous five-step implicit block unification method for numerical solution of second-order elliptic partial differential equations

EO Adeyefa, EO Omole - International Journal of …, 2023 - inderscienceonline.com
A continuous implicit block unification method (CIBUM) is developed through the
interpolation and collocation approach using Hermite polynomial as the basis function. The …

A boundary value approach for solving three-dimensional elliptic and hyperbolic partial differential equations

TA Biala, SN Jator - SpringerPlus, 2015 - Springer
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 …

A novel method to deduce a high-order compact difference scheme for the three-dimensional semilinear convection-diffusion equation with variable coefficients

S Zhai, X Feng, D Liu - Numerical Heat Transfer, Part B …, 2013 - Taylor & Francis
In this article, a new family of fourth-order compact difference schemes for the three-
dimensional semilinear convection-diffusion equation with variable coefficients is presented …

Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids

D Deka, S Sen - Applied Mathematics and Computation, 2022 - Elsevier
A higher-order compact (HOC) discretization of generalized 3D convection-diffusion
equation (CDE) in nonuniform grid is presented. Even in the presence of cross-derivative …