Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids
Reaction-diffusion-advection equations provide precise interpretations for many important phenomena in complex interactions between natural and artificial systems. This paper studies second-order semi-discretizations for the numerical solution of reaction-diffusion-advection equations modeling quenc...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/5530744 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550914121007104 |
|---|---|
| author | Nina Garcia-Montoya Julienne Kabre Jorge E. Macías-Díaz Qin Sheng |
| author_facet | Nina Garcia-Montoya Julienne Kabre Jorge E. Macías-Díaz Qin Sheng |
| author_sort | Nina Garcia-Montoya |
| collection | DOAJ |
| description | Reaction-diffusion-advection equations provide precise interpretations for many important phenomena in complex interactions between natural and artificial systems. This paper studies second-order semi-discretizations for the numerical solution of reaction-diffusion-advection equations modeling quenching types of singularities occurring in numerous applications. Our investigations particularly focus at cases where nonuniform spatial grids are utilized. Detailed derivations and analysis are accomplished. Easy-to-use and highly effective second-order schemes are acquired. Computational experiments are presented to illustrate our results as well as to demonstrate the viability and capability of the new methods for solving singular quenching problems on arbitrary grid platforms. |
| format | Article |
| id | doaj-art-7ae92bc5e717454cb6c31111079289ec |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7ae92bc5e717454cb6c31111079289ec2025-02-03T06:05:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/55307445530744Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial GridsNina Garcia-Montoya0Julienne Kabre1Jorge E. Macías-Díaz2Qin Sheng3Department of Mathematics and Center for Astrophysics, Space Physics and Engineering Research, Baylor University, Waco, TX 76798-7328, USADepartment of Mathematics and Center for Astrophysics, Space Physics and Engineering Research, Baylor University, Waco, TX 76798-7328, USADepartment of Mathematics, School of Digital Technologies, Tallinn University, Narva Rd. 25, 10120 Tallinn, EstoniaDepartment of Mathematics and Center for Astrophysics, Space Physics and Engineering Research, Baylor University, Waco, TX 76798-7328, USAReaction-diffusion-advection equations provide precise interpretations for many important phenomena in complex interactions between natural and artificial systems. This paper studies second-order semi-discretizations for the numerical solution of reaction-diffusion-advection equations modeling quenching types of singularities occurring in numerous applications. Our investigations particularly focus at cases where nonuniform spatial grids are utilized. Detailed derivations and analysis are accomplished. Easy-to-use and highly effective second-order schemes are acquired. Computational experiments are presented to illustrate our results as well as to demonstrate the viability and capability of the new methods for solving singular quenching problems on arbitrary grid platforms.http://dx.doi.org/10.1155/2021/5530744 |
| spellingShingle | Nina Garcia-Montoya Julienne Kabre Jorge E. Macías-Díaz Qin Sheng Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids Discrete Dynamics in Nature and Society |
| title | Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids |
| title_full | Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids |
| title_fullStr | Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids |
| title_full_unstemmed | Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids |
| title_short | Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids |
| title_sort | second order semi discretized schemes for solving stochastic quenching models on arbitrary spatial grids |
| url | http://dx.doi.org/10.1155/2021/5530744 |
| work_keys_str_mv | AT ninagarciamontoya secondordersemidiscretizedschemesforsolvingstochasticquenchingmodelsonarbitraryspatialgrids AT juliennekabre secondordersemidiscretizedschemesforsolvingstochasticquenchingmodelsonarbitraryspatialgrids AT jorgeemaciasdiaz secondordersemidiscretizedschemesforsolvingstochasticquenchingmodelsonarbitraryspatialgrids AT qinsheng secondordersemidiscretizedschemesforsolvingstochasticquenchingmodelsonarbitraryspatialgrids |