A SEMI-LAGRANGIAN RUNGE-KUTTA METHOD FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS

Daniel X. Guo;

doi:10.11948/2013018

A SEMI-LAGRANGIAN RUNGE-KUTTA METHOD FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation ◽

10.11948/2013018 ◽

2013 ◽

Vol 3 (3) ◽

pp. 251-263

Author(s):

Daniel X. Guo ◽

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Kutta Method ◽

Partial Differential ◽

Runge Kutta Method ◽

Runge Kutta

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Stability of the fourth order Runge–Kutta method for time-dependent partial differential equations

Annals of Mathematical Sciences and Applications ◽

10.4310/amsa.2017.v2.n2.a3 ◽

2017 ◽

Vol 2 (2) ◽

pp. 255-284 ◽

Cited By ~ 1

Author(s):

Zheng Sun ◽

Chi-Wang Shu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fourth Order ◽

Time Dependent ◽

Kutta Method ◽

Partial Differential ◽

Runge Kutta Method ◽

Runge Kutta

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Application of Runge-Kutta method for the solution of non-linear partial differential equations

Applied Mathematical Modelling ◽

10.1016/0307-904x(77)90006-3 ◽

1977 ◽

Vol 1 (4) ◽

pp. 199-204 ◽

Cited By ~ 6

Author(s):

Ashok Kumar ◽

T.E. Unny

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Kutta Method ◽

Partial Differential ◽

Linear Partial Differential Equations ◽

Runge Kutta Method ◽

Non Linear ◽

Runge Kutta

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A Runge-Kutta Method for the Numerical Solution of the Goursat Problem in Hyperbolic Partial Differential Equations

The Computer Journal ◽

10.1093/comjnl/9.1.81 ◽

1966 ◽

Vol 9 (1) ◽

pp. 81-83 ◽

Cited By ~ 15

Author(s):

J. T. Day

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Goursat Problem ◽

Hyperbolic Partial Differential Equations ◽

Kutta Method ◽

Partial Differential ◽

Runge Kutta Method ◽

Runge Kutta

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Nonlinear Partial Differential Equations, Laplace Decomposition Method, Differential Transform Method, Runge-Kutta Method of 6th Order

SSRN Electronic Journal ◽

10.2139/ssrn.3345047 ◽

2019 ◽

Author(s):

Abbas Al-Shimmary

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Decomposition Method ◽

Nonlinear Partial Differential Equations ◽

Kutta Method ◽

Partial Differential ◽

Transform Method ◽

Runge Kutta Method ◽

Differential Transform ◽

Laplace Decomposition Method

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Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(97)00056-1 ◽

1997 ◽

Vol 25 (2-3) ◽

pp. 151-167 ◽

Cited By ~ 515

Author(s):

Uri M. Ascher ◽

Steven J. Ruuth ◽

Raymond J. Spiteri

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Partial Differential ◽

Runge Kutta

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Variable step-size fractional step Runge–Kutta methods for time-dependent partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2012.06.015 ◽

2012 ◽

Vol 62 (10) ◽

pp. 1463-1476 ◽

Cited By ~ 6

Author(s):

L. Portero ◽

A. Arrarás ◽

J.C. Jorge

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Variable Step Size ◽

Fractional Step ◽

Step Size ◽

Partial Differential ◽

Variable Step ◽

Runge Kutta

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Numerical Solution of Fuzzy Differential Equations by Seventh Order Runge-Kutta Method

Journal of Computer and Mathematical Sciences ◽

10.29055/jcms/1143 ◽

2019 ◽

Vol 10 (7) ◽

pp. 1518-1528

Author(s):

P. Rajkumar ◽

S. Rubanraj

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Seventh Order ◽

Runge Kutta

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An Extension of Mesh Equidistribution to Time-Dependent Partial Differential Equations

10.21236/ada239579 ◽

1991 ◽

Author(s):

J. M. Coyle

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Partial Differential ◽

Mesh Equidistribution

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Two-sided Runge-Kutta method accurate to sixth order for second-order ordinary differential equations

Journal of Mathematical Sciences ◽

10.1007/bf01250583 ◽

1994 ◽

Vol 69 (6) ◽

pp. 1404-1409

Author(s):

N. S. Golovan’ ◽

N. Ya. Lyashchenko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Sixth Order ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta

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A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation

SIAM Journal on Scientific Computing ◽

10.1137/130920046 ◽

2014 ◽

Vol 36 (1) ◽

pp. A1-A19 ◽

Cited By ~ 12

Author(s):

R. M. Caplan ◽

R. Carretero-González

Keyword(s):

Boundary Condition ◽

Partial Differential Equations ◽

Schrödinger Equation ◽

Differential Equations ◽

Dirichlet Boundary Condition ◽

Schrodinger Equation ◽

Dirichlet Boundary ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Partial Differential

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