A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
A numerical method based on Chebyshev polynomials and local interpolating functions is proposed for solving the one-dimensional parabolic partial differential equation subject to non-classical conditions. To assess its validity and accuracy, the method is applied to solve several test problem.
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| Published in | Applied mathematics and computation Vol. 190; no. 1; pp. 179 - 185 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
Elsevier Inc
01.07.2007
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0096-3003 1873-5649 |
| DOI | 10.1016/j.amc.2007.01.033 |
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| Abstract | A numerical method based on Chebyshev polynomials and local interpolating functions is proposed for solving the one-dimensional parabolic partial differential equation subject to non-classical conditions. To assess its validity and accuracy, the method is applied to solve several test problem. |
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| AbstractList | A numerical method based on Chebyshev polynomials and local interpolating functions is proposed for solving the one-dimensional parabolic partial differential equation subject to non-classical conditions. To assess its validity and accuracy, the method is applied to solve several test problem. |
| Author | Javidi, M. Golbabai, A. |
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| Cites_doi | 10.1137/0916073 10.1016/0021-9991(89)90208-8 10.1007/s100120200039 10.1137/S0036142993295545 10.1155/S1024123X03111015 10.1016/j.apnum.2004.02.002 10.1016/0020-7225(90)90086-X 10.1002/num.20019 10.1090/S0025-5718-1988-0935077-0 10.1006/jcph.1995.1036 10.1016/0020-7225(93)90010-R 10.1016/S0096-3003(02)00954-2 10.1016/S0955-7997(00)00068-0 10.1137/0723002 10.1145/365723.365727 10.1016/S0096-3003(02)00479-4 10.1016/S0898-1221(98)00240-5 10.1137/S1064827501388182 10.1016/j.amc.2005.08.011 10.1016/S0377-0427(99)00200-9 |
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| Keywords | Local interpolating functions Parabolic problem Chebyshev polynomials Non-classical conditions Chebyshev polynomial Initial value problem Numerical method Polynomial method Partial differential equation Parabolic equation Numerical analysis Boundary value problem Applied mathematics Numerical solution Collocation method |
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| SubjectTerms | Chebyshev polynomials Exact sciences and technology Global analysis, analysis on manifolds Local interpolating functions Mathematical analysis Mathematics Non-classical conditions Numerical analysis Numerical analysis. Scientific computation Parabolic problem Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds |
| Title | A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method |
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