MTH-203 (B) | Numerical Methods
F.Y.B.Sc. | Sem II | Mathematics
Dr D R Bonde, Dr K J Ingale, Dr S R ChaudhariRs.120.00
F.Y.B.Sc. | Sem II | MTH-201
MATHEMATICS
Ordinary Differential Equations
We feel great pleasure in bringing out this books. The book has been written according to revised syllabus of KBC North Maharashtra University, Jalgaon for F.Y.B.Sc. Mathematics, MTH – 203 (B) – NUMERICAL METHODS which is implemented form June 2022 (CBCS Pattern).
Each topic has been written in a very simple and lucid language to enable the students to understand the subject thoroughly. There are many worked examples with detailed steps. The problems in the exercises have been complied taking into consideration the academic background of students. We hope that the text will be equally appreciated by the students and the teachers.
Unit 1 Solution of Algebraic and Transcendental Equations
1.1 Errors and their Computation
1.2 Absolute, Relative and Percentage Errors
1.3 The bisection method
1.4 The iteration method
1.5 The Method of false position or Regula falsi method
1.6 Newton-Raphson Method
Unit 2 Interpolation
2.1 Shift Operator
2.2 Forward Dierence Operator
2.3 Backward Dierence Operator
2.4 Central Dierence Operator
2.5 Averaging Operator
2.6 Gauss Forward Formula
2.7 Gauss Backward Formula
2.8 Lagrange’s Interpolation Formula
Unit 3 Curve Fitting
3.1 Linear Curve Fitting – Fitting a straight line
3.2 Nonlinear Curve Fitting
3.3 Fitting of an Exponential Curve of the Type y = aebx
3.4 Fitting of the Logarithmic Curve of the Form y = axb
Unit 4 Numerical Solutions of Ordinary Differential Equations
4.1 Taylors Series Method
4.2 Euler’s Method
4.3 Modied Euler’s Method
4.4 Runge-Kutta Methods
4.5 Runge-Kutta Second Order Method
4.6 Fourth Order Runge-Kutta Methods
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