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
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.26 No.1
- 발행연도
- 2016.1
- 수록면
- 147 - 164 (18page)
이용수
초록· 키워드
오류제보하기
In this work we construct a numerical method to solve the time-dependent convection-diffusion problems in case two dimensional for which the diffusion term can be small. we apply B-spline collocation method in x-direction and then the obtained system of ordinary differential equations can be solved by the sinc-Galerkin method . It is well known that the sinc procedure for the ordinary differential equations converges to the solution at an exponential rate. The convergence analysis is discussed for the obtained system of ordinary differential equations, the obtained results show that the convergence rate is exponentially. For efficiency and accuracy the method, we validate the proposed method by several examples, numerical results are investigated and confirm that oscillations can be controlled by our algorithm.
목차
등록된 정보가 없습니다.
참고문헌 (40)
참고문헌 신청
R. Bank / 1990 / Some up-winding techniques for finite element approximations of convection diffusion equation / Numer. Math 58:185~202
T. Belytschko / 1979 / Analysis of a finite element upwind scheme / Am. Soc. Mech. Eng 34:195~200
A.N. Brooks / 1982 / Streamline upwind PetrovGalerkin formulations for convection dominated flows with particular emphasis on the incompressible NavierStokes equations / Comput. Methods Appl. Mech. Eng 32:199~259
N. Bozkaya / 2008 / Time-domain BEM solution of convectiondiffusiontype MHD equations / INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluids 56:1969~1991
J.D. Bredehoeft / 1971 / Comment on Numerical Solution to the Convective Diffusion Equation / Water Resur. Res 7(3):755~756
T. Belytschko / 1979 / Analysis of a finite element upwind scheme / Am. Soc. Mech. Eng 34:195~200
A.N. Brooks / 1982 / Streamline upwind PetrovGalerkin formulations for convection dominated flows with particular emphasis on the incompressible NavierStokes equations / Comput. Methods Appl. Mech. Eng 32:199~259
N. Bozkaya / 2008 / Time-domain BEM solution of convectiondiffusiontype MHD equations / INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluids 56:1969~1991
J.D. Bredehoeft / 1971 / Comment on Numerical Solution to the Convective Diffusion Equation / Water Resur. Res 7(3):755~756
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
The Exponential Cubic B-spline Algorithm for Equal Width Equation
Advanced Studies in Contemporary Mathematics
2015 .01
-
SYSTEM OF HOMOGENEOUS DIFFERENTIAL EQUATION AT INFINITY
Nonlinear Functional Analysis and Applications
2019 .01
-
Simplifying and finding ordinary differential equations in terms of the stirling numbers
한국수학논문집
2018 .01
-
MULTI-BLOCK BOUNDARY VALUE METHODS FOR ORDINARY DIFFERENTIAL AND DIFFERENTIAL ALGEBRAIC EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2020 .09
-
Numerical method for a system of singularly perturbed convection diffusion equations with integral boundary conditions
대한수학회논문집
2019 .01
-
ANALYTIC TREATMENT FOR GENERALIZED (m + 1)-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .12
-
Numerical solution of variational problems using exponential sextic spline
Proceedings of the Jangjeon Mathematical Society
2017 .01
-
A NUMERICAL METHOD OF FUZZY DIFFERENTIAL EQUATIONS
순수 및 응용수학
2017 .08
-
Uniformly Convergent Numerical Method for Singularly Perturbed Convection-Diffusion Problems
Kyungpook Mathematical Journal
2020 .01
-
On the growth of solutions of some non-linear complex differential equations
한국수학논문집
2020 .01
-
A GEOMETRIC METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2025 .03
-
On zeros and growth of solutions of second order linear differential equations
대한수학회논문집
2020 .01
-
GENERALIZED SECOND-ORDER DIFFERENTIAL EQUATIONS WITH TWO-POINT BOUNDARY CONDITIONS
순수 및 응용수학
2019 .01
-
COMPARISON DIFFERENTIAL TRANSFORM METHOD WITH ADOMIAN DECOMPOSITION METHOD FOR NONLINEAR INITIAL VALUE PROBLEMS
Proceedings of the Jangjeon Mathematical Society
2017 .01
-
Entire solutions of differential-difference equation and Fermat type $q$-difference differential equations
대한수학회논문집
2015 .01
-
NON-ITERATIVE DOMAIN DECOMPOSITION METHOD FOR THE CONVECTION–DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
East Asian Mathematical Journal
2024 .01
-
NON-POLYNOMIAL QUARTIC SPLINE METHOD FOR SOLVING TWELFTH ORDER BOUNDARY VALUE PROBLEMS
Proceedings of the Jangjeon Mathematical Society
2018 .01
-
NUMERICAL SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2016 .09
-
CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE ROSENAU-BURGERS EQUATION
East Asian Mathematical Journal
2017 .01
-
Some results on meromorphic solutions of q-difference differential equations
대한수학회보
2023 .05
이 논문의 저자 정보
최근 본 자료
댓글(0)
0