Finite difference method for solution of the Cauchy problem for linear hyperbolic equations of arbitrary order

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1964.100601 ◽

1964 ◽

Vol 14 (1) ◽

pp. 52-78

Author(s):

Jiří Kopáček

Keyword(s):

Cauchy Problem ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Arbitrary Order ◽

Hyperbolic Equations ◽

The Cauchy Problem ◽

Linear Hyperbolic Equations

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A finite-difference method of solving the Cauchy problem for evolution equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(77)90190-2 ◽

1977 ◽

Vol 17 (6) ◽

pp. 232-237

Author(s):

A.T. Gashimov ◽

S.Ya. Yakubov

Keyword(s):

Cauchy Problem ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Evolution Equations ◽

The Cauchy Problem

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A finite difference method for solving the cauchy problem for a quasi-linear first-order equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(77)90143-4 ◽

1977 ◽

Vol 17 (3) ◽

pp. 114-127 ◽

Author(s):

N.N. Kuznetsov

Keyword(s):

Cauchy Problem ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Order Equation ◽

First Order ◽

The Cauchy Problem

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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

Advances in Difference Equations ◽

10.1186/1687-1847-2013-70 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Ranjan K Mohanty ◽

Venu Gopal

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Fourth Order ◽

Difference Method ◽

Hyperbolic Equations ◽

Second Order ◽

Linear Hyperbolic Equations

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The generalized finite difference method for the inverse Cauchy problem in two-dimensional isotropic linear elasticity

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2019.06.001 ◽

2019 ◽

Vol 174-175 ◽

pp. 69-84 ◽

Author(s):

Po-Wei Li ◽

Zhuo-Jia Fu ◽

Yan Gu ◽

Lina Song

Keyword(s):

Cauchy Problem ◽

Finite Difference ◽

Finite Difference Method ◽

Linear Elasticity ◽

Difference Method ◽

Two Dimensional

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Solving parabolic and hyperbolic equations by the generalized finite difference method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.10.090 ◽

2007 ◽

Vol 209 (2) ◽

pp. 208-233 ◽

Author(s):

J.J. Benito ◽

F. Ureña ◽

L. Gavete

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Hyperbolic Equations

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The arbitrary order mixed mimetic finite difference method for the diffusion equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015088 ◽

2016 ◽

Vol 50 (3) ◽

pp. 851-877 ◽

Author(s):

Vitaliy Gyrya ◽

Konstantin Lipnikov ◽

Gianmarco Manzini

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Diffusion Equation ◽

Difference Method ◽

Arbitrary Order ◽

Mimetic Finite Difference Method

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An implicit, compact, finite difference method to solve hyperbolic equations

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(77)90042-8 ◽

1977 ◽

Vol 19 (4) ◽

pp. 241-261 ◽

Author(s):

H.J. Wirz ◽

F. De Schutter ◽

A. Turi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Hyperbolic Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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An arbitrary-order immersed finite-difference method for wave propagation through fluid/solid interfaces

The Journal of the Acoustical Society of America ◽

10.1121/1.5147462 ◽

2020 ◽

Vol 148 (4) ◽

pp. 2695-2695

Author(s):

Roberto Sabatini ◽

Yan Pailhas ◽

Paul Cristini ◽

Angeliki Xenaki

Keyword(s):

Wave Propagation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Arbitrary Order

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The Cauchy Problem for Linear Hyperbolic Equations in General

Partial Differential Equations - Applied Mathematical Sciences ◽

10.1007/978-1-4615-9979-1_5 ◽

1975 ◽

pp. 186-214

Author(s):

F. John

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equations ◽

The Cauchy Problem ◽

Linear Hyperbolic Equations

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Finite difference method for solving boundary initial value problem of a system hyperbolic equations in a class of discontinuous functions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00956-6 ◽

2004 ◽

Vol 149 (1) ◽

pp. 47-63

Author(s):

Mahir Rasulov ◽

Turhan Karaguler ◽

Bahaddin Sinsoysal

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Initial Value Problem ◽

Hyperbolic Equations ◽

Initial Value ◽

Discontinuous Functions

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