Numerical methods, S. R. K. Iyengar, S. K. Jain,

 Numerical methods, S. R. K. Iyengar, S. K. Jain,

Topics of this book contains are, 

1.SOLUTION OF EQUATIONS AND EIGEN VALUE PROBLEMS

1.1Solution of Algebraic and Transcendental Equations,

1.2Linear System of Algebraic Equations

1.3Eigen Value Problems,

2.INTERPOLATION AND APPROXIMATION

2.1Introduction

2.2Interpolation with Unevenly Spaced Points,

2.3Interpolation with Evenly Spaced Points, 

2.4Spline Interpolation and Cubic Splines

3.NUMERICAL DIFFERENTIATION AND INTEGRATION

3.1Introduction

3.2Numerical Differentiation

3.3Numerical Integration

4.INITIAL VALUE PROBLEMS FOR ORDINARYDIFFERENTIAL EQUATIONS

4.1Introduction

4.2Single Step and Multi Step Methods,

4.3Taylor Series Method

4.4Runge-Kutta Methods, 

4.5System of First Order Initial Value Problems,

4.6Multi Step Methods and Predictor-Corrector Methods,

4.7Stability of Numerical Methods

5.BOUNDARY VALUE PROBLEMS IN ORDINARY DIFFERENTIALEQUATIONS AND INITIAL & BOUNDARY VALUE PROBLEMS INPARTIAL DIFFERENTIAL 

5.1Introduction, 

5.2Boundary Value Problems Governed by Second Order Ordinary Differential Equations,

5.3Classification of Linear Second Order Partial Differential Equations, 

5.4Finite Difference Methods for Laplace and Poisson Equations, 

5.5Finite Difference Method for Heat Conduction Equation, 

5.6Finite Difference Method for Wave Equation, 

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