Error estimates of the real inversion formulas of the laplace transform[J] . K. Amano,S. Saitoh,M. Yamamato.Integral Transforms and Special Functions . 2000 (3-4)Amano, K., Saitoh, S., Yamamoto, M.: Error estimates of the real inversion formulas of the Laplace transform. Integral ...
Fourier transform (The Fourier Transform) Significant number of natural sciences and physical formulas. The world's top ten most famous formula Laplace transform and inverse Laplace equation (inverse) Laplace transform formula: Then f (t) \, the Laplace transform is given by the following equation:...
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However, a signif i cantcomputational bottleneck arises from the necessity of calculating the frac-tional derivatives of the residual function within the coef f i cient determi-nation process. The Laplace Residual Power Series Method (LRPSM)partially addresses this by employing the Laplace transform....
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Functions of Laplace Transform 8. Fourier Fourier Series Fourier Transform Properties Table of Fourier Transform 9. Series Arithmetic Series Geometric Series Finite Series Binomial Series Power Series Expansions 10. Numerical methods Introduction Lagrange, Newton's Interpolation ...
This paper presents some numerical integration formulae on the base of specific forms of integrands in Laplace transform, and makes a theoretical analysis for the numeical integration formulae. 本文根据拉普拉斯变换式中被积函数的特殊形式,提出几种数值积分公式,并且对这几种数值积分公式进行了理论分析,还...
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Using second order partial differentia equation of the generating functions, we also obtain new derivative formulas for the Bernstein basis functions. By applying the Fourier transform and the Laplace transform to the generating functions, we derive series representations for the Bernstein basis functions...