A conservative higher-order finite difference scheme for solving the Gardner equation with dual power-law nonlinearities in both 1D and 2D

Xiaofeng Wang; Weizhong Dai; Anjan Biswas

doi:10.1016/j.camwa.2025.10.023

A conservative higher-order finite difference scheme for solving the Gardner equation with dual power-law nonlinearities in both 1D and 2D

Xiaofeng Wang
, Weizhong Dai
, Anjan Biswas

Minnan Normal University
Louisiana Tech University
Grambling State University
Dunarea de Jos University of Galati
Sefako Makgatho Health Sciences University (SMU)
Khazar University

Research output: Contribution to journal › Article › peer-review

Original language	English
Pages (from-to)	171-194
Number of pages	24
Journal	Computers and Mathematics with Applications
Volume	201
DOIs	https://doi.org/10.1016/j.camwa.2025.10.023
State	Published - Jan 1 2026
Externally published	Yes

ASJC Scopus Subject Areas

Modeling and Simulation
Computational Mathematics
Computational Theory and Mathematics

Keywords

Conservation
Convergence
Gardner equation
Stability

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10.1016/j.camwa.2025.10.023

Cite this

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title = "A conservative higher-order finite difference scheme for solving the Gardner equation with dual power-law nonlinearities in both 1D and 2D",

keywords = "Conservation, Convergence, Gardner equation, Stability",

author = "Xiaofeng Wang and Weizhong Dai and Anjan Biswas",

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doi = "10.1016/j.camwa.2025.10.023",

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AU - Wang, Xiaofeng

AU - Dai, Weizhong

AU - Biswas, Anjan

PY - 2026/1/1

Y1 - 2026/1/1

KW - Conservation

KW - Convergence

KW - Gardner equation

KW - Stability

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U2 - 10.1016/j.camwa.2025.10.023

DO - 10.1016/j.camwa.2025.10.023

M3 - Article

AN - SCOPUS:105022166924

SN - 0898-1221

VL - 201

SP - 171

EP - 194

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

ER -

A conservative higher-order finite difference scheme for solving the Gardner equation with dual power-law nonlinearities in both 1D and 2D

ASJC Scopus Subject Areas

Keywords

Access to Document

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