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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.31 No.3
- 발행연도
- 2021.7
- 수록면
- 356 - 376 (21page)
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Elliptic partial differential equations (PDEs) arise in the mathematical modelling of many physical phenomena in science and engineering.
In this paper, we obtain the numerical solution of Laplace and Poisson equations using two-dimensional 3-scale Haar wavelets. The elliptic PDEs are converted into a system of algebraic equations that involve a fi nite number of variables. The numerical results are compared with the exact solution to prove the accuracy of the Haar wavelet method. The error analysis of the 3-scale Haar wavelet method proves that the solution improves with the increase in the levels of resolution of the wavelet.
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