A textbook of Computer Based Numerical and Statiscal Techniques part 37 doc
A textbook of Computer Based Numerical and Statiscal Techniques part 62 docx
... the Range Lower limit a = 0 Upper limit b = 6 Enter the number of subintervals = 6 Value of the integral is: 1.3571 598 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Enter the value of y2 ... ALGORITHM FOR TRAPEZOIDAL RULE Step 1. Start of the program for numerical integration Step 2. Input the upper and lower limits a and b Step 3. Obtain the number of sub...
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A textbook of Computer Based Numerical and Statiscal Techniques part 1 ppt
... This page intentionally left blank This page intentionally left blank A TEXTBOOK OF COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Anju Khandelwal M.Sc., Ph.D. Department of Mathematics SRMS ... Based Numerical and Statistical Techniques is primarily written according to the unified syllabus of Mathematics for B. Tech. II year and M.C .A. I year students of...
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A textbook of Computer Based Numerical and Statiscal Techniques part 2 ppsx
... problems. A major advantage for numerical technique is that a numerical answer can be obtained even when a problem has no analytical solution. However, result from numerical analysis is an approximation, in ... () 22 2 2 22 2 12 12 22 2 12 12 1 2 2 n n XX x X xx xxx xx xx x ∂∂ δ ∂ δ+δ++δ+δδ++ ∂∂ ∂∂ δ Errors δx 1 , δx 2 , , δx n all are small so that th...
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A textbook of Computer Based Numerical and Statiscal Techniques part 8 doc
... 1.796307 62 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES 2.6.2 Rate of Convergence of Iteration Method Let f(x) = 0 be the equation which is being expressed as x = g(x). The iterative formula for ... (3.7 781 5) = 3. 788 63 ALGEBRAIC AND TRANSCENDENTAL EQUATION 65 Example 5. Find the real root of equation f(x) = x 3 + x 2 – 1 = 0 by using iteration method. Sol. Here...
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A textbook of Computer Based Numerical and Statiscal Techniques part 9 docx
... 66 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Putting i = 2 in (1) x 3 = 0.024 39 Therefore reciprocal of 41 is 0.0244. Example 8. Find the square root of 20 correct to 3 decimal places ... 1.22 39 x 2 = φ(x 1 ) = 1 + () () () () −+− 2345 2222 (1.22 39) (1.22 39) (1.22 39) (1.22 39) 2! 3! 4! 5! + = 1.3263 70 COMPUTER BASED NUMERICAL AND STATISTICAL TECHN...
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A textbook of Computer Based Numerical and Statiscal Techniques part 13 doc
... ∇ and 4 log 50 = 0.0508 ∇− Example 10. Given that: 12345678 1 8 27 64 125 216 343 512 x y Construct backward difference table and obtain 4 () f8∇ . 108 COMPUTER BASED NUMERICAL AND STATISTICAL ... 2 2 () d fx dx and so on. The operator ∆ is an analogous to the operator D of differential calculus. In finite differences, we deal with ratio of simultaneous increments o...
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A textbook of Computer Based Numerical and Statiscal Techniques part 15 doc
... 12. Similarly we have obtained ∆ 3 u 0 = 6 and ∆ 4 u 0, ∆ 5 u 0 , are all zero as u r = r 3 is a polynomial of third degree. 130 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES PROBLEM ... ax − −− = 0 ! n n nhax = ! n n nha 132 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Hence, we have nth difference of the polynomial is constant and so a...
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A textbook of Computer Based Numerical and Statiscal Techniques part 21 docx
... = 0.047875 190 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Example 4. Use Gauss’s forward formula to find a polynomial of degree four which takes the following values of the function ... No. of Persons earning wages between Rs. 60 to 70 is 423.59375 – 370 = 53.59375 or 54000. (Approx.) 186 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Take the mean o...
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A textbook of Computer Based Numerical and Statiscal Techniques part 31 docx
... DIFFERENTIATION The method of obtaining the derivatives of a function using a numerical technique is known as numerical differentiation. There are essentially two situations where numerical differentiation ... Newton forward formula, and if the same is required at a point near the end of the set of given tabular 294 INTERPOLATION WITH UNEQUAL INTERVAL 289 Example 1. Obta...
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A textbook of Computer Based Numerical and Statiscal Techniques part 34 docx
... +6(0.3777)] 316 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES 6.5 TRAPEZOIDAL RULE Putting n =1 in equation (2) and taking the curve y = f(x) through (x 0 , y 0 ) and (x 0 , y 0 ) as a polynomial of ... 1.3661 7341 3. Ans. 324 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Example 6. Evaluate the integral 6 3 0 1 dx x+ ∫ by using Weddle’s rule. Sol. Div...
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A textbook of Computer Based Numerical and Statiscal Techniques part 36 docx
... 218295 13 afa f or x ≤ .988. 340 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Example 10. Obtain y when x = 0.1, x = 0.2 Given that ; dy xy dx =+ y(0) = 1, Check the result with exact value. Sol. ... integrate. Thus, when, () 1 0.1, 1 0.1 2log 1.1 0.9828 xy ==−+ = . Ans. Here in this example, only I approximation can be obtained and so it gives that approximate value of...
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A textbook of Computer Based Numerical and Statiscal Techniques part 37 doc
... Using Picard’d method, obtain the solution of () () 3 1;03 dy xxyy dx =+ = Compute the value of () 0.1y and () 0.2y .[Ans. 3.005, 3.020] 348 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Now, ... simply replace () 000 ,, xyz by () 111 ,, xyz in the above formulae. 350 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Since, () () 34 11 1.039473, yy==...
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A textbook of Computer Based Numerical and Statiscal Techniques part 45 doc
... 434 COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES Sol. Calculation of 5 yearly moving averages Year Value 5 Yearly 5 Yearly Moving Moving Total Averages (trend value) 1971 105 ... of one year or shorter. The major factors that cause seasonal variations are climate and weather conditions, customs and habits of people, religious festivals, etc. For instance, the demand...
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A textbook of Computer Based Numerical and Statiscal Techniques part 47 doc
... other hand graphs are more obvious, precise and accurate than the diagrams and are quite helpful to the mathematician for the study of slopes, rate of change and estimation i.e., interpolation and ... types: (a) Qualitative Forecasting: Qualitative forecasting is used when past data is not available. (b) Quantitative Forecasting: Quantitative forecasting is used if historical or...
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A textbook of Computer Based Numerical and Statiscal Techniques part 60 docx
... INTERPOLATION METHOD Step 1. Start of the program to interpolate the given data Step 2. Input the value of n (number of terms) Step 3. Input the array ax for data of x Step 4. Input the array ay for data of y Step ... interpolate the given data Step 2. Input the value of n (number of terms) Step 3. Input the array ax for data of x Step 4. Input the array ay for data of y Ste...
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