지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.7
- 수록면
- 621 - 657 (37page)
- DOI
- 10.4134/JKMS.j230007
이용수
초록· 키워드
오류제보하기
In this study, the numerical solution of a space-fractional Burgers' equation with initial and boundary conditions is considered. This equation is the simplest nonlinear model for diffusive waves in fluid dynamics. It occurs in a variety of physical phenomena, including viscous sound waves, waves in fluid-filled viscous elastic pipes, magneto-hydrodynamic waves in a medium with finite electrical conductivity, and one-dimensional turbulence. The proposed QBS/CNG technique consists of the Galerkin method with a function basis of quadratic B-splines for the spatial discretization of the space-fractional Burgers' equation. This is then followed by the Crank-Nicolson approach for time-stepping. A linearized scheme is fully constructed to reduce computational costs. Stability analysis, error estimates, and convergence rates are studied. Finally, some test problems are used to confirm the theoretical results and the proposed method's effectiveness, with the results displayed in tables, 2D, and 3D graphs.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE ROSENAU-BURGERS EQUATION
East Asian Mathematical Journal
2017 .01
-
A finite difference/finite volume method for solving the fractional diffusion wave equation
대한수학회지
2021 .01
-
NUMERICAL SOLUTIONS OF BURGERS EQUATION BY REDUCED-ORDER MODELING BASED ON PSEUDO-SPECTRAL COLLOCATION METHOD
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2015 .06
-
Fractional polynomial method for solving fractional order Population growth model
대한수학회논문집
2016 .01
-
Error estimates for a Galerkin method for a coupled nonlinear Schr\"{o}dinger equations
대한수학회보
2020 .01
-
Exponential growth for a fractional differential equation
Advanced Studies in Contemporary Mathematics
2017 .01
-
SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR STOCHASTIC BURGERS EQUATION
대한수학회지
2017 .01
-
A predictor-corrector method for fractional evolution equations
대한수학회보
2016 .01
-
Nonlinear implicit fractional differential equation involving -Caputo fractional derivative
Proceedings of the Jangjeon Mathematical Society
2019 .01
-
MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEM WITH FINITE FRACTIONAL DIFFERENCE
충청수학회지
2015 .01
-
SOLVING FUZZY FRACTIONAL WAVE EQUATION BY THE VARIATIONAL ITERATION METHOD IN FLUID MECHANICS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2019 .12
-
A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS
East Asian Mathematical Journal
2016 .01
-
SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS
Nonlinear Functional Analysis and Applications
2023 .06
-
A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS
East Asian Mathematical Journal
2017 .01
-
AN EFFICIENT METHOD FOR SOLVING TWO-ASSET TIME FRACTIONAL BLACK-SCHOLES OPTION PRICING MODEL
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2022 .06
-
Kink wave solutions to KdV-Burgers equation with forcing term
대한수학회논문집
2020 .01
-
CAPUTO DELAYED FRACTIONAL DIFFERENTIAL EQUATIONS BY SADIK TRANSFORM
Nonlinear Functional Analysis and Applications
2023 .06
-
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
Kyungpook Mathematical Journal
2020 .01
-
EXISTENCE OF SOLUTION FOR IMPULSIVE FRACTIONAL DYNAMIC EQUATIONS WITH DELAY ON TIME SCALES
Journal of applied mathematics & informatics
2015 .01
-
ANALYTIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR COUPLED EQUATIONS OF FRACTIONAL ORDER
호남수학학술지
2015 .01
최근 본 자료
댓글(0)
0