article Open Access
Legendre wavelet collocation method for the numerical solution of singular initial value problems
International Journal of Statistics and Applied Mathematics · 2018 · Vol. 3(4) · pp. 121–129
Abstract
Wavelet theory is a recently developed mathematical tool for many problems. In this paper, method based on collocation points with Legendre wavelet, an efficient and new numerical technique is proposed for the numerical solution of singular initial value problems. The present method is developed by using the Legendre wavelet and its operational matrices to obtain higher accuracy. A comparative analysis of Legendre wavelet collocation method (LWCM) is carried out with Haar wavelet collocation method (HWCM), Chebyshev wavelet collocation method (CWCM).
Fractional Differential Equations SolutionsImage and Signal Denoising MethodsDigital Filter Design and ImplementationLegendre waveletWaveletMathematicsCollocation (remote sensing)Legendre polynomialsCollocation methodHaar waveletApplied mathematicsMathematical analysisLegendre's equation
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