- Collection:
- Atlanta University and Clark Atlanta University Theses and Dissertations
- Title:
- Numerical solution of linear integral equations with random forcing terms, 1987
- Creator:
- Ephraim, Daniel E.
- Date of Original:
- 1987-07-01
- Subject:
- Degrees, Academic
Dissertations, Academic - Location:
- United States, Georgia, Fulton County, Atlanta, 33.749, -84.38798
- Medium:
- theses
- Type:
- Text
- Format:
- application/pdf
- Description:
- In Chapter one of this report we define Fredholm integral equations of the second kind, Volterra integral equations of the second kind and differentiate between the two of them and explain why integral equations are important. In Chapter two we discuss numerical procedures to integral equations. The equations we used in this report are of two types: (1) Fredholm equations and (2) Volterra equations. The methods we used for Fredholm equations are: (i) Simpson's rule, (ii) Trapezoidal rule, (iii) Weddle's rule, (iv) the Collocation method, and (iv) the Galerkin method. For Volterra equations we used the successive approximation method with (i) Simpson's rule, (ii) Trapezoidal rule and (iii) Weddle's rule to evaluate the integrals. In both Fredholm and Volterra integral equations we have the forcing term to be random. Our simulation results are presented in tables and graphs.
- External Identifiers:
- Metadata URL:
- http://hdl.handle.net/20.500.12322/cau.td:1987_ephraim_daniel_e
- Rights Holder:
- Clark Atlanta University
- Holding Institution:
- Atlanta University Center Robert W. Woodruff Library
- Rights:
-
