The method of partial fractions

Part 1 of ebook "Higher engineering mathematics (Sixth edition)" has presents the following content: algebra; partial fractions; logarithms; exponential functions; hyperbolic functions; arithmetic and geometric progressions; the binomial series; maclaurin’s series; solving equations by iterative methods; binary, octal and hexadecimal; introduction to trigonometry; cartesian and polar co-ordinates; the circle and its properties; trigonometric waveforms;...

369p dieptieuung 20-07-2023 8 3   Download

Ebook 3000 solved problems in calculus: Part 2 includes contents: Chapter 22 volume; chapter 23 the natural logarithm; chapter 24 exponential functions; chapter 25 L'Hopital's rule; chapter 26 exponential growth and decay; chapter 27 inverse trigonometric functions; chapter 28 integration by parts; chapter 29 trigonometric integrands and substitutions; chapter 30 integration of rational functions: the method of partial fractions; chapter 31 integrals for surface area, work, centroids; chapter 32 improper integrals;… Please refer to the documentation for more details.

286p haojiubujain01 06-06-2023 3 2   Download

In the paper, the forced transverse vibration of fractional viscoelastic Euler-Bernoulli is studied. Based on the fractional relationship of stress and strain, the partial differential equation describing transverse vibration of Euler-Bernoulli viscoelastic beam is considered.

13p vidudley 20-02-2023 6 2   Download

Lecture Introduction to Circuits for ECE - Lesson 36: Transfer function in the s-Domain and Poles and Zeros. The main topics covered in this chapter include: laplace transform properties, laplace transform pairs, step response with initial condition, partial fractions – faster method, laplace transform of components,...

16p linyanjun_2408 23-04-2022 12 1   Download

In present time significant attention has been given to study non-integer order partial differential equations. The current article is devoted to find numerical solutions to the following class of time–space fractional partial differential.

10p dayhoctainha 10-09-2020 20 1   Download

The work proposes a synthesis method of capacitive fractional-order impedance element which is composed of homogenous distributed resistive-capacitive (RC) structures (lines). The method employs genetic algorithm and searches for optimal connection schemes and parameters of the partial RC structures. The synthesis algorithm is described in detail including the coding of the properties of the structures for the purpose of the genetic algorithm. The user interface of the design tool is introduced and the input and output parameters of the synthesis are explained.

9p dayhoctainha 10-09-2020 36 1   Download

Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curves than the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired by the Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linear and that the computational costs are lower than those for the standard Cahn-Hilliard equation, while the inpainting results remain of high quality.

10p dayhoctainha 10-09-2020 17 0   Download

In this article, the considered problem of Cauchy reaction diffusion equation of fractional order is solved by using integral transform of Laplace coupled with decomposition technique due to Adomian scheme. This combination led us to a hybrid method which has been properly used to handle nonlinear and linear problems. The considered problem is used in modeling spatial effects in engineering, biology and ecology. The fractional derivative is considered in Caputo sense. The results are obtained in series form corresponding to the proposed problem of fractional order.

8p dayhoctainha 10-09-2020 18 0   Download