Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient
The traditional differential quadrature (DQ) method is used to approximate derivatives and its application is limited to the number of grid points. In this paper, a multiscale localized differential quadrature (MLDQ) method was developed by increasing the number of grid points in critical region, an...
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| Format: | Conference or Workshop Item |
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2015
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| _version_ | 1796861470681595904 |
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| author | Cheong, Hui Ting Yeak, Su Hoe |
| author_facet | Cheong, Hui Ting Yeak, Su Hoe |
| author_sort | Cheong, Hui Ting |
| collection | ePrints |
| description | The traditional differential quadrature (DQ) method is used to approximate derivatives and its application is limited to the number of grid points. In this paper, a multiscale localized differential quadrature (MLDQ) method was developed by increasing the number of grid points in critical region, and approximating the derivatives at the certain grid point which selected. This present method applied in twodimensional differential equation, together with the fourthorder Runge-Kutta (RK) method. Numerical examples are provided to validate the MLDQ method. The obtained results by this method are high accuracy and good convergence comparing with the other conventional numerical methods such as finite difference (FD) method. |
| first_indexed | 2024-03-05T19:56:53Z |
| format | Conference or Workshop Item |
| id | utm.eprints-63497 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:56:53Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-634972017-08-08T03:15:49Z http://eprints.utm.my/63497/ Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient Cheong, Hui Ting Yeak, Su Hoe QA Mathematics The traditional differential quadrature (DQ) method is used to approximate derivatives and its application is limited to the number of grid points. In this paper, a multiscale localized differential quadrature (MLDQ) method was developed by increasing the number of grid points in critical region, and approximating the derivatives at the certain grid point which selected. This present method applied in twodimensional differential equation, together with the fourthorder Runge-Kutta (RK) method. Numerical examples are provided to validate the MLDQ method. The obtained results by this method are high accuracy and good convergence comparing with the other conventional numerical methods such as finite difference (FD) method. 2015 Conference or Workshop Item PeerReviewed Cheong, Hui Ting and Yeak, Su Hoe (2015) Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient. In: Computational Mathematics, Computational Geometry & Statistics 2015 (CMCGS-2015), 26-27 Jan, 2015, Singapore. http://www.wikicfp.com/cfp/servlet/event.showcfp?eventid=36693©ownerid=62453 |
| spellingShingle | QA Mathematics Cheong, Hui Ting Yeak, Su Hoe Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| title | Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| title_full | Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| title_fullStr | Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| title_full_unstemmed | Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| title_short | Multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| title_sort | multiscale localized differential quadrature method using cell approach for solving differential equation with large localized gradient |
| topic | QA Mathematics |
| work_keys_str_mv | AT cheonghuiting multiscalelocalizeddifferentialquadraturemethodusingcellapproachforsolvingdifferentialequationwithlargelocalizedgradient AT yeaksuhoe multiscalelocalizeddifferentialquadraturemethodusingcellapproachforsolvingdifferentialequationwithlargelocalizedgradient |