Backward difference replacements of the space derivative in first order hyperbolic equations
, 1983 Two families of two-time level difference schemes are developed for the numerical solution of first order hyperbolic partial differential equations with one space variable.
Khaliq, AQM, Twizell, EH
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A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
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, 2005 A finite element/finite difference method (FEM/FDM) is developed to solve the time-dependent temperature field in non-homogeneous materials such as functionally graded materials.
Wang, Baolin (R17839), Tian, Zhenhui
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
, 1996 A new compact finite difference-Fourier spectral hybrid method for solving the three dimensional incompressible Navier-Stokes equations is developed in the present paper.
凌国灿 +2 more
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An Explicit Adaptive Finite Difference Method for the Cahn-Hilliard Equation. [PDF]
J Nonlinear Sci, 2022 Ham S +6 more
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Determining the Dependence of Single Nitrogen-Vacancy Center Light Extraction in Diamond Nanostructures on Emitter Positions with Finite-Difference Time-Domain Simulations. [PDF]
Nanomaterials (Basel), 2023 Zhu T, Zeng J, Wen F, Wang H.
europepmc +1 more source
High order compact finite difference schemes for a nonlinear Black-Scholes equation [PDF]
A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized.
Michel Fournié +2 more
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A compact finite difference scheme with absorbing boundary condition for forced KdV equation. [PDF]
MethodsX, 2023 Chen J, Dai W.
europepmc +1 more source
, 1976 A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
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