Numerical MethodsAbout the Book: This comprehensive textbook covers material for one semester course on Numerical Methods (MA 1251) for B.E./ B. Tech. students of Anna University. The emphasis in the book is on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. The book is written as a textbook rather than as a problem/guide book. The textbook offers a logical presentation of both the theory and techniques for problem solving to motivate the students in the study and application of Numerical Methods. Examples and Problems in Exercises are used to explain. |
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Numerical Methods: Problems and Solutions M. K. Jain,Satteluri R. K. Iyengar,R. K. Jain Limited preview - 2007 |
Common terms and phrases
A.U. April/May Adams-Bashforth method Adams-Bashforth predictor-corrector method Adams-Moulton method Backward Euler method continuously varying slope corrector methods Denote differential equation discretization error dy dx error term Example explicit F G H f(x i+1 fi+1 given by h h Yi+1 Heun’s method hf x1+ hf(x higher order derivatives implicit methods Initial condition gives initial value problem mean value theorem method is given method of fourth method requires method with h method Yi+1 methods are called Milne's method Milne's predictor-corrector method modified Euler method multi step methods numerical stability obtain the error obtain the method order initial value order Runge-Kutta method predictor and corrector require the values requires the starting right hand side second order initial single step method Solve the initial starting values yi step length Taylor series method Ti+1 truncation error x₁ Xi+1 y(x₁ y₁ Yn+1 У₁ Уз Уі Уі+1