Details

Subject(s)

• Boundary value problems—Numerical solutions [Browse]

Author

• Das, Ponkog Kumar [Browse]
• Faruque, Syed Badiuzzaman [Browse]

Summary note

The book presents in comprehensive detail numerical solutions to boundary value problems of a number of non-linear differential equations. Replacing derivatives by finite difference approximations in these differential equations leads to a system of non-linear algebraic equations which we have solved using Newton's iterative method. In each case, we have also obtained Euler solutions and ascertained that the iterations converge to Euler solutions. We find that, except for the boundary values, initial values of the 1st iteration need not be anything close to the final convergent values of the numerical solution. Programs in Mathematica 6.0 were written to obtain the numerical solutions.

Source of description

Description based on: online resource; title from PDF information screen (Routledge, viewed January 4, 2023).

Language note

In English.

ISBN

• 1-000-48611-7
• 1-000-48614-1
• 1-003-20491-0

Doi

• 10.1201/9781003204916

Statement on language in description

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