Linear interpolation formula in numerical methods
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(2019) A Highly Accurate Collocation Method for Linear and Nonlinear Vibration Problems of Multi-Degree-Of-Freedom Systems Based on Barycentric Interpolation. International Journal of Nonlinear Sciences and Numerical Simulation 20:5, 543-550.The interpolating function returned by Interpolation [ data] is set up so as to agree with data at every point explicitly specified in data. The function values f i can be real or complex numbers, or arbitrary symbolic expressions. The f i can be lists or arrays of any dimension.Numerical Methods using Python: Newton's method of Interpolation What is interpolation and when do we need it Let we have n + 1 no. of data points fx i;y igfor i = 0 to n. Now we want to get the value of y at a point x within the range [x 0;x n], but does not match with any one of x i's. For this purpose we need to t the data points with a ...
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An efficient numerical technique is formulated to solve two-dimensional time fractional cable equation. The fractional cable equation is an important mathematical model for describing anomalous diffusion processes in biological systems. The proposed computational technique is based on the combination of time stepping method and meshless weak formulation. At the first step, some implicit ...Central difference interpolation: Stirling's Formula, Bessel's Formula; Lagrange interpolation ; Least square method of fitting linear and nonlinear curve for discrete data and continuous function; Spline Interpolation(Cubic Spline) Numerical Differentiation and Integration(6 hours) Numerical Differentiation formulae ; Maxima and minima