Stirling Interpolation Formula Pdf Program for stirling interpolation formula given n number of floating values x, and their corresponding functional values f(x), estimate the value of the mathematical function for any intermediate value of the independent variable x, i.e., at x = a. Stirling gave the most general formula for interpolating values near the centre of the table by taking mean of gauss forward and gauss backward interpolation formulae.
Bessel Stirling Formula Numerical Analysis Numerical Analysis Stirling approximation or stirling interpolation formula is an interpolation technique, which is used to obtain the value of a function at an intermediate point within the range of a discrete set of known data points . stirling formula is obtained by taking the average or mean of the gauss forward and gauss backward formula . We have also demonstrated the graphical presentations as well as comparison through all the existing interpolation formulas with our propound method of central difference interpolation. by the comparison and graphical presentation, the new method gives the best result with the lowest error from another existing interpolation formula. Bessel's interpolation formula assumes the form (, ): $$ \tag{3 } b {2n 2 } (x {0} th) = $$ $$ = \ f {1 2} f {1 2} ^ {1} \left ( t { \frac{1}{2} } \right ) f {1 2} ^ {2} \frac{t (t 1) }{2!} \dots $$. Stirling's interpolation formula takes the form: $$ l {2n} ( x) = l {2n} ( x {0} th) = \ f {0} tf {0} ^ { 1 } \frac{t ^ {2} }{2!} f {0} ^ { 2 } \dots $$ $$ \frac{t( t ^ {2} 1) \dots [ t ^ {2} ( n 1) ^ {2} ] }{( 2n 1)!} f {0} ^ { 2n 1 } \frac{t( t ^ {2} 1) \dots [ t ^ {2} ( n 1) ^ {2} ] }{( 2n)! } f {0.
Stirling Interpolation Pdf Bessel's interpolation formula assumes the form (, ): $$ \tag{3 } b {2n 2 } (x {0} th) = $$ $$ = \ f {1 2} f {1 2} ^ {1} \left ( t { \frac{1}{2} } \right ) f {1 2} ^ {2} \frac{t (t 1) }{2!} \dots $$. Stirling's interpolation formula takes the form: $$ l {2n} ( x) = l {2n} ( x {0} th) = \ f {0} tf {0} ^ { 1 } \frac{t ^ {2} }{2!} f {0} ^ { 2 } \dots $$ $$ \frac{t( t ^ {2} 1) \dots [ t ^ {2} ( n 1) ^ {2} ] }{( 2n 1)!} f {0} ^ { 2n 1 } \frac{t( t ^ {2} 1) \dots [ t ^ {2} ( n 1) ^ {2} ] }{( 2n)! } f {0. Stirling’s interpolation formula stirling’s interpolation formula looks like: (5) where, as before, . there are also gauss's, bessel's, lagrange's and others interpolation formulas. formula (5) is deduced with use of gauss’s first and second interpolation formulas [1]. Find numerical interpolation for f (x) = x^3 x 2 & step value (h) 1. direct value like f (x=2) (without equation) 2. only interpolation table. share this solution or page with your friends. stirling's formula calculator solve numerical interpolation using stirling's formula method, let y (0) = 1, y (1) = 0, y (2) = 1 and y (3) = 10. The proposed interpolation formula to known interpolation formulas (stirling's formula, bessel's formula) based on differences, and utilize mathematicalnorm concepts to verify their research. the main purpose of this paper is to examine the different central difference formulas with.