DOI10.1016/j.cam.2004.11.045zbMath1071.65113OpenAlexW1977321982MaRDI QIDQ557752
Ranjan Kumar Mohanty
Publication date: 30 June 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.045
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems,
High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation,
A new stable variable mesh method for 1D nonlinear parabolic partial differential equations,
A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\),
An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations,
Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation,
Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems,
Solving singular two-point boundary value problems using continuous genetic algorithm,
A family of compact finite difference formulations for three-space dimensional nonlinear Poisson's equations in Cartesian coordinates,
Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs,
A single sweep AGE algorithm on a variable mesh based on off-step discretization for the solution of nonlinear Burgers' equation,
High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form,
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem,
A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids,
A combined arithmetic average discretization and TAGE iterative method for nonlinear two point boundary value problems with a source function in integral form,
Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid \(h\)-refinement,
A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh,
An efficient computational method for second order boundary value problems of nonlinear differential equations,
On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations,
Differential quadrature method (DQM) for a class of singular two-point boundary value problems,
A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems,
A collection of computational techniques for solving singular boundary-value problems,
A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations,
Application of AGE Method to High Accuracy Variable Mesh Arithmetic Average Type Discretization for 1D Non-linear Parabolic Initial Boundary Value Problems,
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form,
Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems,
A NEW THIRD ORDER EXPONENTIALLY FITTED DISCRETIZATION FOR THE SOLUTION OF NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS ON A GRADED MESH,
A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions,
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh