Block-by-Block Method for Solving Nonlinear Volterra-Fredholm Integral Equation

Author

Badr, Abdallah A.

Source

Mathematical Problems in Engineering

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-01-13

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Civil Engineering

Abstract EN

We consider a nonlinear Volterra-Fredholm integral equation (NVFIE) of the second kind.

The Volterra kernel is time dependent, and the Fredholm kernel is position dependent.

Existence and uniqueness of the solution to this equation, under certain conditions, are discussed.

The block-by-block method is introduced to solve such equations numerically.

Some numerical examples are given to illustrate our results.

American Psychological Association (APA)

Badr, Abdallah A.. 2011. Block-by-Block Method for Solving Nonlinear Volterra-Fredholm Integral Equation. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-479658

Modern Language Association (MLA)

Badr, Abdallah A.. Block-by-Block Method for Solving Nonlinear Volterra-Fredholm Integral Equation. Mathematical Problems in Engineering No. 2010 (2010), pp.1-8.
https://search.emarefa.net/detail/BIM-479658

American Medical Association (AMA)

Badr, Abdallah A.. Block-by-Block Method for Solving Nonlinear Volterra-Fredholm Integral Equation. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-479658

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-479658