Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth-Order Parabolic Partial Differential Equation

Fourth Order ◽

Decomposition Method ◽

Partial Differential ◽

Exact Solutions of Homogeneous Partial Differential Equation by A New Adomian Decomposition Method

Procedia Environmental Sciences ◽

10.1016/j.proenv.2011.12.070 ◽

2011 ◽

Vol 11 ◽

pp. 440-446 ◽

Cited By ~ 1

Author(s):

Bingquan Zhang ◽

Jun Lu

Keyword(s):

Differential Equation ◽

Exact Solutions ◽

Decomposition Method ◽

Partial Differential ◽

The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple

Advances in Pure Mathematics ◽

10.4236/apm.2021.116038 ◽

2021 ◽

Vol 11 (06) ◽

pp. 595-603

Author(s):

Dalal Adnan Maturi ◽

Honaida Mohammed Malaikah

Keyword(s):

Differential Equation ◽

Decomposition Method ◽

Nonlinear Partial Differential Equation ◽

Partial Differential ◽

Hopscotch procedures for a fourth-order parabolic partial differential equation differential equation

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(82)90076-3 ◽

1982 ◽

Vol 24 (4) ◽

pp. 326-329 ◽

Cited By ~ 7

Author(s):

A. Danaee ◽

D.J. Evans

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Partial Differential

Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.03.053 ◽

2019 ◽

Vol 78 (6) ◽

pp. 2052-2062 ◽

Cited By ~ 10

Author(s):

Muhammad Nadeem ◽

Fengquan Li ◽

Hijaz Ahmad

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Iteration Method ◽

Variational Iteration Method ◽

Variable Coefficients ◽

Partial Differential ◽

Variational Iteration

An approximate analytical solution of non linear partial differential equation for water infiltration in unsaturated soils by combined Elzaki Transform and Adomian Decomposition Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1473/1/012009 ◽

2020 ◽

Vol 1473 ◽

pp. 012009

Author(s):

A C Varsoliwala ◽

T R Singh

Keyword(s):

Differential Equation ◽

Analytical Solution ◽

Unsaturated Soils ◽

Decomposition Method ◽

Approximate Analytical Solution ◽

Linear Partial Differential Equation ◽

Water Infiltration ◽

Tension spline technique for the solution of fourth-order parabolic partial differential equation

Malaya Journal of Matematik ◽

10.26637/mjm0603/0009 ◽

2018 ◽

Vol 06 (03) ◽

pp. 514-520

Author(s):

Talat Sultana ◽

Pooja Khandelwal

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Partial Differential ◽

Tension Spline

Numerical solution of fourth order parabolic partial differential equation using parametric septic splines

Hacettepe Journal of Mathematics and Statistics ◽

10.15672/hjms.20164513115 ◽

2016 ◽

Vol 4 (45) ◽

Author(s):

Arshad Khan

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Fourth Order ◽

Partial Differential

A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation

The Computer Journal ◽

10.1093/comjnl/8.3.280 ◽

1965 ◽

Vol 8 (3) ◽

pp. 280-287 ◽

Cited By ~ 32

Author(s):

D. J. Evans

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Fourth Order ◽

Explicit Method ◽

Partial Differential ◽

Finite Difference Solution ◽

Difference Solution

Numerical Treatment of a Fourth Order Parabolic Partial Differential Equation

Journal of the ACM ◽

10.1145/320776.320779 ◽

1954 ◽

Vol 1 (3) ◽

pp. 111-118 ◽

Cited By ~ 29

Author(s):

Stephen H. Crandall

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Numerical Treatment ◽

Partial Differential

A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690060403 ◽

1990 ◽

Vol 6 (4) ◽

pp. 311-319 ◽

Cited By ~ 35

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Differential Equation ◽

Fourth Order ◽

Difference Method ◽

Partial Differential ◽

Order Difference ◽

One Dimensional ◽

The One ◽

Quasilinear Parabolic