Nonlinear Profile Monitoring Using Spline Functions
نویسندگان
چکیده
منابع مشابه
Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions
and Applied Analysis 3 Ramadan introduced in 19 the solution of the first-order delay differential equation of the form: y′ x f ( x, y x , y ( g x )) , a ≤ x ≤ b, y a y0, y x Φ x , x ∈ a∗, a , a∗ < 0, a∗ inf { g x : x ∈ a, b , 2.4 using the spline functions of the polynomial form, defined as SΔ x Sk x Sk−1 xk r ∑ i 0 M i k x − xk i 1 i 1 ! , 2.5 where M i k f i xk, Sk−1 xk , Sk−1 g xk , with S−...
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In many manufacturing processes, the quality of a product is characterized by a non-linear relationship between a dependent variable and one or more independent variables. Using nonlinear regression for monitoring nonlinear profiles have been proposed in the literature of profile monitoring which is faced with two problems 1) the distribution of regression coefficients in small samples is unkno...
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in many manufacturing processes, the quality of a product is characterized by a non-linear relationship between a dependent variable and one or more independent variables. using nonlinear regression for monitoring nonlinear profiles have been proposed in the literature of profile monitoring which is faced with two problems 1) the distribution of regression coefficients in small samples is unkno...
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Profile monitoring is a relatively new technique in quality control best used where the process data follows a profile (or curve) at each time period. Little work has been done on the monitoring on nonlinear profiles. Previous work has assumed that the measurements within a profile are uncorrelated. To relax this restriction we propose the use of nonlinear mixed models to monitor the nonlinear ...
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The collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the integrand. Convergence analysis has been investigated and proved that the quadrature rule is third order convergent. The presented...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8091588