| contributor author | Singh, Anup | |
| contributor author | Das, S. | |
| contributor author | Ong, S. H. | |
| contributor author | Jafari, H. | |
| date accessioned | 2019-03-17T09:59:53Z | |
| date available | 2019-03-17T09:59:53Z | |
| date copyright | 2/15/2019 12:00:00 AM | |
| date issued | 2019 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_014_04_041003.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4255841 | |
| description abstract | In the present article, the advection–diffusion equation (ADE) having a nonlinear type source/sink term with initial and boundary conditions is solved using finite difference method (FDM). The solution of solute concentration is calculated numerically and also presented graphically for conservative and nonconservative cases. The emphasis is given for the stability analysis, which is an important aspect of the proposed mathematical model. The accuracy and efficiency of the proposed method are validated by comparing the results obtained with existing analytical solutions for a conservative system. The novelty of the article is to show the damping nature of the solution profile due to the presence of the nonlinear reaction term for different particular cases in less computational time by using the reliable and efficient finite difference method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation | |
| type | Journal Paper | |
| journal volume | 14 | |
| journal issue | 4 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4042687 | |
| journal fristpage | 41003 | |
| journal lastpage | 041003-6 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 004 | |
| contenttype | Fulltext | |
