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

Boukary, Beyi; Loufouilou-Mouyedo, Justin; Yindoula, Joseph Bonazebi; Bissanga, Gabriel

doi:10.4236/jamp.2018.67124

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [12], Boukary et al use the ADM to solve the fourth-order parabolic type partial differential equations. Kwami et al [13] introduced a new modification of ADM for solving fourth-order ODEs.…”

Section: Introductionmentioning

confidence: 99%

A New Transformation Method for Solving High-Order Boundary Value Problems

Yücel

Muhtarov

Mukhtarov

2022

Journal of New Theory

View full text Add to dashboard Cite

The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method (PDTM), for solving high-order boundary value problems (HOBVPs). Our method is based on the classical differential transform method and differs from it by calculating the coefficients of the solution, which has the form of a series. We applied the proposed new method to fourth-order boundary value problems to substantiate it. The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.

show abstract

Section: Introductionmentioning

confidence: 99%