DOI10.1080/00207160801965271zbMath1181.65112OpenAlexW2130254387MaRDI QIDQ5850755
Ranjan Kumar Mohanty
Publication date: 15 January 2010
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160801965271
An explicit fourth-order compact difference scheme for solving the 2D wave equation,
Analyzing the maritime transportation system in Greece: a complex network approach,
A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients,
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term,
A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations,
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations,
A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method,
A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations,
Existence, uniqueness and stabilization of solutions of a generalized telegraph equation on star shaped networks,
Spatial science and network science: review and outcomes of a complex relationship,
A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations,
An unconditionally stable spatial sixth-order CCD-ADI method for the two-dimensional linear telegraph equation,
Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method,
A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation,
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations,
A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations,
Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation,
A reliable and fast mesh-free solver for the telegraph equation,
New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations,
Moving Least Squares (MLS) Method for the Nonlinear Hyperbolic Telegraph Equation with Variable Coefficients,
A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations,
A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh,
Numerical simulation of a class of nonlinear wave equations by lattice Boltzmann method,
Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative,
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation,
Improved ADI scheme for linear hyperbolic equations: extension to nonlinear cases and compact ADI schemes,
Study of one dimensional hyperbolic telegraph equation via a hybrid cubic B-spline differential quadrature method,
A new spline-in-tension method of \(\mathrm{O}(k^{2}+h^{4})\) based on off-step grid points for the solution of 1D quasi-linear hyperbolic partial differential equations in vector form,
Application of the \(\varTheta\)-method to a telegraphic model of fluid flow in a dual-porosity medium,
A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation,
A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation,
Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems,
Numerical solution of space and time fractional telegraph equation: a meshless approach,
Cubic spline method for 1D wave equation in polar coordinates,
A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations,
A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations,
Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions,
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations,
The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation,
A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions,
Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs,
Unnamed Item,
Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables,
Unnamed Item,
Quasi-overlapping semi-discrete Schwarz waveform relaxation algorithms: the hyperbolic problem,
New explicit group iterative methods in the solution of two dimensional hyperbolic equations,
An unconditionally stable fourth-order method for telegraph equation based on Hermite interpolation,
An operator-difference method for telegraph equations arising in transmission lines,
A direct meshless method for solving two-dimensional second-order hyperbolic telegraph equations,
Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions,
A new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic equations,
Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method,
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem,
Modal spectral element method in curvilinear domains,
A new unconditionally stable method for telegraph equation based on associated Hermite orthogonal functions,
A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation,
A new fourth-order numerical algorithm for a class of nonlinear wave equations,
Differential quadrature solution of hyperbolic telegraph equation,
Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation,
Parallel implementation of 2-D telegraphic equation on MPI/PVM cluster,
Quartic spline methods for solving one-dimensional telegraphic equations,
Compact difference schemes for solving telegraphic equations with Neumann boundary conditions,
A new unconditionally stable ADI compact scheme for the two-space-dimensional linear hyperbolic equation,
Application of polynomial scaling functions for numerical solution of telegraph equation,
A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations,
Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations,
An unconditionally stable spline difference scheme of \(O(k^2+h^4)\) for solving the second-order 1D linear hyperbolic equation,
A new treatment based on hybrid functions to the solution of telegraph equations of fractional order,
A new unconditionally stable compact difference scheme of \(O(\tau ^2+h^4)\) for the 1D linear hyperbolic equation,
Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method,
Solving the telegraph equation in 2-d and 3-d using generalized finite difference method (GFDM),
Unconditionally stable modified methods for the solution of two‐ and three‐dimensional telegraphic equation with Robin boundary conditions,
Exact analytical solutions of fractional order telegraph equations via triple Laplace transform,
High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain,
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation,
The Crank-Nicolson finite element method for the 2D uniform transmission line equation,
A two-level compact ADI method for solving second-order wave equations,
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh,
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation,
On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation