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Euler MethodImproved Euler MethodRunge-Kutta MethodSolving the Engineering ProblemsThe paper presents the comparative study on numerical methods of Euler method,Improved Euler method and fourth-order Runge-Kutta method for solving the engineering problems and applications.The three proposed methods are ...
14.Improved Euler Method for Solving Roots of Nonlinear Equation改进的Euler方法应用于非线性方程求根 15.Discussion about the Improvement of TLC Identification for Compound Liquorice Tablets复方甘草片薄层鉴别方法的改进初探 16.Improved parallel Arnoldi method for solving linear equations改进的求解线性方程组的...
[25] performed a 2D vibro-acoustic analysis based on the Partition of unity finite element method (PUFEM), in which the acoustic cavity is expanded using a plane wave function and the beam is expanded using the general solution of the governing equation for the Euler beam. Later, Li et ...
In summary, many researchers have carried out a lot of simulation studies on the particulate fouling of the liquid side of the heat transfer surfaces by using the Euler method. However, in most of the research, it was found that the average value of the whole flow field fouling parameters ...
Also, depicts the function, and Euler's gamma function has a notation of . 3.2 State-Space Representation of the Fractional-Order PID Controller The FOPID controller provides additional flexibility through the use of fractional-order calculus, enabling enhanced performance and robustness in controlling...
2. An Euler-Lagrange (EL) mathematical model of the three- level traction inverter-motor system is established using its topology and switching function. As the prerequisite of the design of PBC, the inverter-motor system is proved to be strictly passive by selecting the proper energy func- ...
The Jacobian matrix of each link can be obtained by combining the Newton Euler method and screw theory, as shown in the following equation: (4) Therefore, the relationship between the speed of each joint and the speed of the ith link was (5) 2.2.2. The Acceleration of Link The accel...
This method, however, introduces computational complexity into the solution as it requires the solution of an implicit equation, to determine the point of transition between the two regions. Recently, an extended Mohr–Coulomb model was developed (Shafiq and Subhash, 2016a) to capture the nonlinear...
Integration in time (using a simple Euler scheme) yields the swimming trajectory, from which we can read off the net swimming speed v. We find that the normalized net swimming speed v/f is reduced to 51.5% for micromotors with a cap compared to free swimming sperm cells. This reduction ...