A New Algorithm Based on Differential Transform Method for Solving Partial Differential Equation System with Initial and Boundary Conditions

Advances in Pure Mathematics ◽

10.4236/apm.2020.105020 ◽

2020 ◽

Vol 10 (05) ◽

pp. 337-349

Author(s):

Chenlu Huang ◽

Jiwei Li ◽

Fali Lin

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Boundary Conditions ◽

Equation System ◽

Differential Transform Method ◽

Differential Equation System ◽

Partial Differential ◽

Transform Method ◽

Differential Transform ◽

Initial And Boundary Conditions

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Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method

Nonlinear Analysis ◽

10.1016/j.na.2021.112340 ◽

2021 ◽

Vol 209 ◽

pp. 112340

Author(s):

Marc Jornet

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Uncertainty Quantification ◽

Differential Transform Method ◽

Partial Differential ◽

Transform Method ◽

Differential Transform

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An iterated, multipoint differential transform method for numerically evolving partial differential equation initial-value problems

Computational Science & Discovery ◽

10.1088/1749-4699/5/1/014001 ◽

2012 ◽

Vol 5 (1) ◽

pp. 014001 ◽

Author(s):

Hal Finkel

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Initial Value Problems ◽

Differential Transform Method ◽

Initial Value ◽

Partial Differential ◽

Transform Method ◽

Differential Transform

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Solution of different type of the partial differential equation by differential transform method and Adomian’s decomposition method

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.02.037 ◽

2006 ◽

Vol 172 (1) ◽

pp. 551-567 ◽

Author(s):

Necdet Bildik ◽

Ali Konuralp ◽

Funda Orakçı Bek ◽

Semih Küçükarslan

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Decomposition Method ◽

Differential Transform Method ◽

Partial Differential ◽

Transform Method ◽

Adomian’S Decomposition Method ◽

Differential Transform

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Backwards uniqueness of the $C_{0}$-semigroup associated with a parabolic-hyperbolic Stokes-Lamé partial differential equation system

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-10-04851-8 ◽

2010 ◽

Vol 362 (07) ◽

pp. 3535-3561 ◽

Author(s):

George Avalos ◽

Roberto Triggiani

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Differential Equation System ◽

Partial Differential

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Numerical solution of a partial differential equation system describing chemical kinetics and diffusion in a cell with the aid of compartmentalization

Journal of Computational Chemistry ◽

10.1002/jcc.540110205 ◽

1990 ◽

Vol 11 (2) ◽

pp. 194-204 ◽

Author(s):

U. Salzner ◽

P. Otto ◽

J. Ladik

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Numerical Solution ◽

Chemical Kinetics ◽

Equation System ◽

Differential Equation System ◽

Partial Differential ◽

A Cell ◽

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A partial differential equation system for modelling stochastic storage in physical systems with applications to wind power generation

IMA Journal of Management Mathematics ◽

10.1093/imaman/dpp022 ◽

2009 ◽

Vol 22 (3) ◽

pp. 231-252 ◽

Author(s):

S. D. Howell ◽

P. W. Duck ◽

A. Hazel ◽

P. V. Johnson ◽

H. Pinto ◽

...

Keyword(s):

Differential Equation ◽

Power Generation ◽

Partial Differential Equation ◽

Equation System ◽

Wind Power Generation ◽

Differential Equation System ◽

Partial Differential ◽

Physical Systems

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ON STOCHASTICITY IN THE VON FOERSTER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION SYSTEM FURTHER APPLICATIONS TO THE MODELING OF AN ASYNCHRONOUSLY DIVIDING CELLULAR SYSTEM

Hyperbolic Partial Differential Equations ◽

10.1016/b978-0-08-030254-6.50019-7 ◽

1983 ◽

pp. 447-457 ◽

Author(s):

MATTHEW WITTEN

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Cellular System ◽

Hyperbolic Partial Differential Equation ◽

Differential Equation System ◽

Partial Differential

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Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance

IET Control Theory and Applications ◽

10.1049/iet-cta.2015.0953 ◽

2016 ◽

Vol 10 (9) ◽

pp. 1027-1039 ◽

Author(s):

Wen Kang ◽

Bao-Zhu Guo

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Differential Equation System ◽

Partial Differential ◽

Boundary Disturbance

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Appoximate Pole Assignment in Some Class of First Order Partial Differential Equation System by Applying the Method of Weighted Residuals

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.18.139 ◽

1982 ◽

Vol 18 (2) ◽

pp. 139-145

Author(s):

Seiichi KAWATA ◽

Hideaki KANOH ◽

Masami MASUBUCHI

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Pole Assignment ◽

Order Partial Differential Equation ◽

Differential Equation System ◽

Partial Differential ◽

Weighted Residuals ◽

First Order ◽

Method Of Weighted Residuals

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Input-State Relation and Controllability of Linear Partial Differential Equation System

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.6.142 ◽

1970 ◽

Vol 6 (2) ◽

pp. 142-151

Author(s):

Takumi NOMURA ◽

Kahei NAKAMURA

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Linear Partial Differential Equation ◽

Equation System ◽

Input State ◽

Differential Equation System ◽

Partial Differential

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