Results 61 to 70 of about 281,967 (214)
The finite difference methods for fractional ordinary differential equations
, 2013 Fractional finite difference methods are useful to solve the fractional differential equations. The aim of this article is to prove the stability and convergence of the fractional Euler method, the fractional Adams method and the high order methods based
Li, Changpin, Zeng, Fanhai
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Finite-difference solutions of tenth-order boundary-value problems
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation
, 2022 In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Yongqiang Yang +5 more
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Finite Difference Methods for the BSDEs in Finance
International Journal of Financial Studies, 2018 This paper gives a review of numerical methods for solving the BSDEs, especially, finite difference methods. For numerical methods of finite difference, we should divide them into three branches.
Guangbao Guo
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Higher-order finite-difference methods for partial differential equations
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter, Cheema, T.A.
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Efficient acoustic modelling of large acoustic spaces using finite difference methods. [PDF]
, 2017 Time domain methods for solving wave based acoustic models have been of continued interest and development since early work by key figures such as Bottledooren, as these methods can provide a simple and flexible approach for simulating a wide range of ...
Durbridge, Simon E., Hill, Adam J.
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Finite difference and finite volume methods for wave-based modelling of room acoustics [PDF]
, 2016 Wave-based models of sound propagation can be used to predict and synthesize sounds as they would be heard naturally in room acoustic environments. The numerical simulation of such models with traditional time-stepping grid-based methods can be an ...
Hamilton, Brian
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Modified finite-difference approximations near the singularitiy in the problem of motz
, 1976 A simple, modified finite-difference method is described for solving Laplace's equation with boundary singularities of the infinite derivative type. Modified approximations for the derivatives of the Laplacian equation are employed near the singularity ...
R. M. Furzel +3 more
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Finite difference method for time-space-fractional Schrödinger equation
, 2015 In this paper, an implicit finite difference scheme for the nonlinear time-space-fractional Schrödinger equation is presented. It is shown that the implicit scheme is unconditionally stable with experimental convergence order of O(τ2−α+h2), where τ and h
Li, C., Liu, Q., Zeng, F.
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Nonstandard finite difference schemes for differential equations
Sahand Communications in Mathematical Analysis, 2014 In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs).
Mohammad Mehdizadeh Khalsaraei +1 more
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