Hybrid pseudospectral–finite difference method for solving a 3D heat conduction equation in a submicroscale thin film

JOURNAL ARTICLE published September 2007 in Numerical Methods for Partial Differential Equations

Authors: S.H. Momeni‐Masuleh | A. Malek

A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film

JOURNAL ARTICLE published September 2000 in Numerical Methods for Partial Differential Equations

Authors: Weizhong Dai | Raja Nassar

A finite difference scheme for solving the heat transport equation at the microscale

JOURNAL ARTICLE published November 1999 in Numerical Methods for Partial Differential Equations

Authors: Weizhong Dai | Raja Nassar

A finite difference scheme for solving the heat transport equation at the microscale

JOURNAL ARTICLE published November 1999 in Numerical Methods for Partial Differential Equations

Authors: Weizhong Dai | Raja Nassar

Error analysis for solving the Korteweg‐de Vries equation by a Legendre pseudo‐spectral method

JOURNAL ARTICLE published November 2000 in Numerical Methods for Partial Differential Equations

Authors: Jian Li | Heping Ma | Weiwei Sun

Solving the equation ?uxx ? ?uyy =f(x, y, u) by anO(h4) finite difference method

JOURNAL ARTICLE published July 2000 in Numerical Methods for Partial Differential Equations

Authors: E. Lungu | T. Motsumi | T. Sty?

Solving the equation −uxx − εuyy = f(x, y, u) by an O(h4) finite difference method

JOURNAL ARTICLE published July 2000 in Numerical Methods for Partial Differential Equations

Authors: E. Lungu | T. Motsumi | T. Styś

A mixed collocation–finite difference method for 3D microscopic heat transport problems

JOURNAL ARTICLE published July 2008 in Journal of Computational and Applied Mathematics

Authors: Alaeddin Malek | Sayed Hodjatollah Momeni-Masuleh

Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. II. moving soliton

JOURNAL ARTICLE published May 2016 in Numerical Methods for Partial Differential Equations

Research funded by NSF Grants (ECCS-0925706 and DMS-1217006)

Authors: Taras I. Lakoba

Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation

JOURNAL ARTICLE published September 2011 in Numerical Methods for Partial Differential Equations

Authors: Tingchun Wang | Boling Guo

Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. I. standing soliton

JOURNAL ARTICLE published May 2016 in Numerical Methods for Partial Differential Equations

Research funded by NSF (ECCS-0925706,DMS-1217006)

Authors: Taras I. Lakoba

AnO(K2 +h4) finite difference method for one-space Burger's equation in polar coordinates

JOURNAL ARTICLE published September 1996 in Numerical Methods for Partial Differential Equations

Authors: R. K. Mohanty

Linear barycentric rational collocation method for solving heat conduction equation

JOURNAL ARTICLE published January 2021 in Numerical Methods for Partial Differential Equations

Research funded by China Postdoctoral Science Foundation (2015T80703) | National Natural Science Foundation of China (11471195) | Natural Science Foundation of Hebei Province (A2019209533) | Natural Science Foundation of Shandong Province (ZR2016JL006)

Authors: Jin Li | Yongling Cheng

Parallel characteristic finite difference method for convection-diffusion equations

JOURNAL ARTICLE published July 2011 in Numerical Methods for Partial Differential Equations

Authors: Jiansong Zhang | Danping Yang

A second‐order finite difference scheme for solving the dual‐phase‐lagging equation in a double‐layered nanoscale thin film

JOURNAL ARTICLE published January 2017 in Numerical Methods for Partial Differential Equations

Research funded by National Natural Science Foundation of China (11271068)

Authors: Hong Sun | Zhi‐zhong Sun | Weizhong Dai

Finite Difference Methods

BOOK CHAPTER published 2007 in Numerical Treatment of Partial Differential Equations

Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method

JOURNAL ARTICLE published 19 November 2020 in Numerical Methods for Partial Differential Equations

Authors: Sachin Kumar

A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers

JOURNAL ARTICLE published November 2006 in Numerical Methods for Partial Differential Equations

Authors: Weizhong Dai | Guang Li

A direct general finite difference method for two‐dimensional heat conduction problems

JOURNAL ARTICLE published June 1990 in Numerical Methods for Partial Differential Equations

Authors: G. Dassle | M. Reall

Finite difference methods and their physical constraints for the fractional klein-kramers equation

JOURNAL ARTICLE published November 2011 in Numerical Methods for Partial Differential Equations

Authors: Weihua Deng | Can Li