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# FORWARD INTERPOLATION.pptx

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# FORWARD INTERPOLATION.pptx

Maths project of Newton Forward Interpolation.

Maths project of Newton Forward Interpolation.

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### FORWARD INTERPOLATION.pptx

1. 1. INTRODUCTION: INTER-POLATION: It is a process of finding an approximate value of function at some point , within the range (Xo,Xn) , but not in the set of data points . EXTRA-POLATION: It is a process of finding an approximate value of function at some point outside the range . NEWTON`S FORWARD INTERPOLATION : Forward Interpolation is used to interpolate the values of y nearer to the beginning value of the given table . Formula:
2. 2. FORWARD DIFFERENCE TABLE
3. 3. Some other methods to obtain value of a function at a given point  When the arguments are equispaced, Stirling’s formula can be used.  When the arguments are not equispaced,we can use the following methods: (i) Lagrange’s interpolation (ii) Newton’s Divided difference
4. 4. APPLICATIONS AND USES: Application: A spring is an elastic object used to store mechanical energy. In case of mechanical spring there is a spring load and deflection graph. The deflection is in millimeters and the load is measured in newton. The deflection is plotted on the x-axis and the corresponding load in newton on y-axis. Often we have to find the values between the two sets of values (load vs. deflection). Hence interpolation is the technique used to find the unknown values. The graph is usually plotted in excel. Uses: Interpolation is used to scale image and to convert the sampling rate of digital signals .