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Reliable Wavelet based Approximation Method for Some Nonlinear Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pirabaharan, Pandy |
| Copyright Year | 2016 |
| Abstract | In this paper, we have developed a Chebyshev wavelet based ap proximation method to solve some nonlinear differential equations (NLDEs) arrising in science and engineering. To t he best of our knowledge, until now there is no rigorous shift ed second kind Chebyshev wavelet (S2KCWM) solution has been addressed for the nonlinear differential equations. With the help of shif ted second kind Chebyshev wavelets operational matrices, the linear a nd nonlinear differential equations are converted into a sy stem of algebraic equations. The convergence of the proposed method is establ ished. Finally, we have given some numerical examples to dem onstrate the validity and applicability of the proposed wavelet method. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.naturalspublishing.com/files/published/lkf8186g1282u2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algebraic equation Approximation Chebyshev polynomials Differential Diagnosis FRONTOTEMPORAL DEMENTIA, CHROMOSOME 3-LINKED Nonlinear system Numerical analysis Numerical method Wavelet |
| Content Type | Text |
| Resource Type | Article |
