[PDF] Top 20 Numerical Solution of Differential Equations by Direct Taylor Expansion
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Numerical Solution of Differential Equations by Direct Taylor Expansion
... the direct Taylor series (DTS) algorithm is simple, easy to use, accurate, extendable to higher accuracies by simply retaining higher- order terms in Taylor expansions while requiring noticeably less ... See full document
9
Numerical solution methods for fractional partial differential equations
... The numerical solution of fractional partial differential equations has been developed in several ways by using the Finite Difference method (Chen, Liu & Burrage 2008, Murio 2008, Hu & ... See full document
464
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... integro-differential equations of fractional order arise in many physical and engineer- ing problems such as fluid mechanics, viscoelasticity, dif- fusion processes, biology and so on ...the solution ... See full document
7
Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential ... See full document
10
Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential ... See full document
10
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... derivatives, respectively. In section 5, we derive the fractional s method for the numerical solution of ordinary differential equations. The algorithm itself is presented in details in ... See full document
5
On the use of splines in the numerical solution of hyperbolic partial differential equations
... rectangular grids which have constant step lengths in both the time and space directions. There are, in fact, very few instances where unequal step lengths have been used for solving partial differential ... See full document
125
Chebyshev approximation with applications to the numerical solution of differential equations
... The trapezoidal rule is used to generate equation (7.13), and results similar to those of the previous section are shown in Tables 46 and 4'7. The superiority of the minimax error solution is less apparent in this ... See full document
199
A Meshless Method for Numerical Solution of Fractional Differential Equations
... fractional differential equations has attracted interest of researchers in several areas including physics, chem- istry, engineering and even finance and social ... See full document
8
Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... series expansion of the inverse function under the assump- tion that the Laplace transform is known on the real axis ...for numerical inversion of Laplace ... See full document
18
The numerical solution of boundary value problems in partial differential equations
... The numerical tests made on f,g,h were as follows: the polynomials were evaluated for X = 0(-*001)-0•1, for the case N=20, and for various values of p and ... See full document
157
Wiener chaos expansion and numerical solutions of stochastic partial differential equations
... In this chapter, we study a two-stage MCMC method for sampling the permeability fields, where coarse-scale models of the fluid flows are used to increase the acceptance rate of the MCMC simulations. In the two-stage MCMC ... See full document
225
On numerical solutions of fuzzy differential equations
... 3. Numerical Solutions of a Fuzzy Initial Value Problem Consider the first order Fuzzy Initial Value Problem ...three numerical methods: Euler method, Adomian method and Homotopy Analysis ...the ... See full document
9
Numerical Solution of Differential Equations
... Note that to solve example (1) y = 3, we could have simply integrated both sides. This follows from the very basic idea that anytime we are given two things that are equal, then as long as we do the same thing to one ... See full document
11
Analysis of Numerical Methods for Differential-Algebraic Equations: The one Step Methods Gaussian Quadrature Rule
... where p is the order of the method when applied to ordinary differential equations. Theorem 5.2. Shows that, even if the RK method satisfies (26) it is not stable in the sense of definition of direct ... See full document
10
Analysis of fractional partial differential equations by Taylor series expansion
... In [], the solutions for some nonlinear fractional differential equations are constructed by using symmetry analysis. But, in general, FDEs do not have exact analytic solutions, hence the approximate and ... See full document
12
B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS
... the differential equations leads to band matrices which are solvable easily with some low cost ...reasonable numerical stability and low computational ... See full document
12
Fast methods for the solution of singular integro differential and differential equations
... Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.. These methods take a total solution.[r] ... See full document
20
NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN
... new numerical solution of Black-Scholes Partial Differential Equation using Direct solution of second-order Ordinary Differential Equation ODE with two-step hybrid Block Method ... See full document
7
About the Simulation of Stochastically Excited Elastic Systems and Their Stability
... the numerical solution of differential equations, describing the motion of the ...the numerical solution of differential equations, describing the perturbed motion ... See full document
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