Jameel Khaleel, A., Adnan Khtan, J. (2012). A Numerical Method for Solving the Multi-Dimensional Hyperbolic Equations With Nonlocal Non-Linear Conditions. Alustath, 8(2), 53-61.
Ahlam Jameel Khaleel; Jehan Adnan Khtan. "A Numerical Method for Solving the Multi-Dimensional Hyperbolic Equations With Nonlocal Non-Linear Conditions". Alustath, 8, 2, 2012, 53-61.
Jameel Khaleel, A., Adnan Khtan, J. (2012). 'A Numerical Method for Solving the Multi-Dimensional Hyperbolic Equations With Nonlocal Non-Linear Conditions', Alustath, 8(2), pp. 53-61.
Jameel Khaleel, A., Adnan Khtan, J. A Numerical Method for Solving the Multi-Dimensional Hyperbolic Equations With Nonlocal Non-Linear Conditions. Alustath, 2012; 8(2): 53-61.

A Numerical Method for Solving the Multi-Dimensional Hyperbolic Equations With Nonlocal Non-Linear Conditions

journal of kerbala university
Article 1, Volume 8, Issue 2, June 2012, Pages 53-61    PDF (0 K)
Authors
Ahlam Jameel Khaleel; Jehan Adnan Khtan
Abstract
In this work we used numerical method for solving the initial value problem that consists of the multi-dimensional hyperbolic equation with (2m) nonlocal non-linear integral boundary conditions. This method depends on Crank-Niklson finite difference scheme and Taylor’s expansion.In this method the (2m) integrals in the (2m) nonlocal non-linear boundary conditions are approximated by using the composite Simpson 1/3 rule. Some examples are presented to illustrate the applicability of this method
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