The quadratic splines employ a quadratic polynomial function for each interval b

Question

The quadratic splines employ a quadratic polynomial function for each interval between knots: s_i(x) = a_i + b_i(x - x_i) + c_i(x - x_i)^2. The constants in the polynomial can be derived by satisfying the following conditions: a) Continuity condition, i.e., the function must pass through all the points. b) The function values of adjacent polynomials must be equation at the knots. c) The first derivatives at the interior nodes must be equal. d) Assume that the second derivative is zero at the first point. You are asked to do the following: Based on the given conditions, derive recursive equations that can be used to determine all constants, a_i, b_i, and c_i, total 3n for n + 1 data points. Develop a MATLAB functional file, [y] = quad_spline(x, f, xi), that can be used to find the function value y for a given x_i.

Explanation / Answer

2.2-

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.