B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory
Mathematical model for an adiabatic tubular chemical reactor which processes an irreversible exothermic chemical reaction has been considered. For steady state solution for an adiabatic tubular chemical reactor, the model can be reduced to ordinary differential equation with a parameter in the bound...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-09-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2017-0116 |
| _version_ | 1818909313558642688 |
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| author | Sahu P. K. Ranjan A. K. Saha Ray S. |
| author_facet | Sahu P. K. Ranjan A. K. Saha Ray S. |
| author_sort | Sahu P. K. |
| collection | DOAJ |
| description | Mathematical model for an adiabatic tubular chemical reactor which processes an irreversible exothermic chemical reaction has been considered. For steady state solution for an adiabatic tubular chemical reactor, the model can be reduced to ordinary differential equation with a parameter in the boundary conditions. Again the ordinary differential equation has been converted into a Hammerstein integral equation which can be solved numerically. B-spline wavelet method has been developed to approximate the solution of Hammerstein integral equation. This method reduces the integral equation to a system of algebraic equations. The numerical results obtained by the present method have been compared with the available results. |
| first_indexed | 2024-12-19T22:24:56Z |
| format | Article |
| id | doaj.art-04ebcf7dc1014a46925c71bf4ff950f7 |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-19T22:24:56Z |
| publishDate | 2018-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-04ebcf7dc1014a46925c71bf4ff950f72022-12-21T20:03:32ZengDe GruyterNonlinear Engineering2192-80102192-80292018-09-017316316910.1515/nleng-2017-0116B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor TheorySahu P. K.0Ranjan A. K.1Saha Ray S.2Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha-751024, IndiaDepartment of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha-769008, IndiaDepartment of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha-769008, IndiaMathematical model for an adiabatic tubular chemical reactor which processes an irreversible exothermic chemical reaction has been considered. For steady state solution for an adiabatic tubular chemical reactor, the model can be reduced to ordinary differential equation with a parameter in the boundary conditions. Again the ordinary differential equation has been converted into a Hammerstein integral equation which can be solved numerically. B-spline wavelet method has been developed to approximate the solution of Hammerstein integral equation. This method reduces the integral equation to a system of algebraic equations. The numerical results obtained by the present method have been compared with the available results.https://doi.org/10.1515/nleng-2017-0116b-splinescaling and wavelet functionsmultiresolution analysishammerstein integral equation |
| spellingShingle | Sahu P. K. Ranjan A. K. Saha Ray S. B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory Nonlinear Engineering b-spline scaling and wavelet functions multiresolution analysis hammerstein integral equation |
| title | B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory |
| title_full | B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory |
| title_fullStr | B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory |
| title_full_unstemmed | B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory |
| title_short | B-spline Wavelet Method for Solving Fredholm Hammerstein Integral Equation Arising from Chemical Reactor Theory |
| title_sort | b spline wavelet method for solving fredholm hammerstein integral equation arising from chemical reactor theory |
| topic | b-spline scaling and wavelet functions multiresolution analysis hammerstein integral equation |
| url | https://doi.org/10.1515/nleng-2017-0116 |
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