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Definitions of integral equations and their classification. Eigen values and Eigen-function. Fredholm integral equations of second kind with separab .... Read More
Definitions of integral equations and their classification. Eigen values and Eigen-function. Fredholm integral equations of second kind with separable kernels. Reduction to a system of algebraic equations. An approximate method. Method of successive approximation. Iterative scheme for Fredholm integral equations of the second kind. Conditions of uniform convergence and uniqueness of series solution. Resolvent kernel and its results. Application of iterative scheme to Volterra integral equations of second kind. designed as per latest UGC model curriculum for M.Sc. (Final) students of all Indian Universities. Besides, it will also be very useful for those students preparing for various competitive examinations and engineering and technical courses.
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | INTRODUCTION | 42 |
| 2 | SOLUTION OF FREDHOLM INTEGRAL EQUATIONS | 50 |
| 3 | HILBERT-SCHMIDT THEORY : SYMMETRIC KERNELS | 54 |
| 4 | SOLUTION OF INTEGRAL EQUATIONS OF SECOND KIND :SUCCESSIVE APPROXIMATION AND SUBSTITUTION METHODS | 60 |
| 5 | CLASSICAL FREDHOLM THEORY | 54 |
| 6 | SINGULAR INTEGRAL EQUATIONS | 38 |
| 7 | INTEGRAL TRANSFORM METHOD | 28 |
| 8 | BOUNDARY VALUE PROBLEMS AND GREEN'S FUNCTION | 60 |
| 9 | DIRAC DELTA FUNCTION | 22 |
| 10 | MODIFIED GREEN'S FUNCTION | 18 |
| 11 | HIGHER DIMENSIONAL GREEN'S FUNCTION | 40 |
| 12 | PERTURBATION THEORY | 40 |
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