spline solutiondolomitegold oreThe batch grinding equation for the case of a continuous particle size distribution is difficult to solve analytically. In the cases where solutions have previously been obtained,
Cubic spline Cubic spline fits a different model to the space between every pair of points, so there is no possibility to write out the curve as a compact equation.
A function ϕ ∈ L2 which satisfies the two-scale equation (2.2) is called a scaling function (or refinable function). The sequence of coefficients (h(n))n∈ℤ in (2.2) is called the mask of ϕ, while the series H(z) := Σm∈ℤh(m)zm is called the symbol of ϕ. If...
[Math Processing Error]F-expansion approach21, the multiplier homotopy scheme22, the modified Khater approach23, the trigonometric quantic B-Spline approach24, the comprehensive exponential rational function method25, the advanced [Math Processing Error]exp(−φ(ξ))-expansion method26,27,28,29,30...
B-spline functionKorteweg–de Vries equationCollocation methodStabilityA numerical technique based on the finite difference and collocation methods is presented for the solution of Korteweg-de Vries (KdV) equation. The integration relations between any two families of B-spline functions are presented and...
How to find a set of curves equation. Learn more about spline, quintic, set of curves, path connecting points, polynomial curve
In this paper, the numerical solution of the modified regularized long wave equation is obtained using a quartic B-spline approach with the help of Butcher's fifth-order Runge鈥揔utta (BFRK) scheme. Here, any kind of transformation or linearization technique is not implemented to tackle the ...
TheModify Plotdialog provides a control that allows a plotted points to be displayed as a cubic spline, a polynomial, or a smoothed moving average curve. A slider control is provided to display the degree of the polynomial or the number of points used in the moving average. This information...
splineIn this work, we present a numerical method based on parametric cubic splines for solving the cubic nonlinear Schr枚dinger equation. The truncation error is given and it has been shown that by choosing suitable parameters we can obtain various accuracy schemes. Stability analysis of the ...
B-splinecollocationsolitary waveVakhnenko–Parkes equationIn this study, we identify two distinct families of solutions for the Vakhnenko鈥揚arkes (VP) equation using a hybrid computational scheme. This methodology, referred to as the hybrid scheme, integrates B-spline functions with a finite-element...