we develope a numerical method based on b-spline collocation method to solve linear klein-gordon equation. the proposed scheme is unconditionally stable. the results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. easy and economical implementation is the strength of this approach.

| We review the approaches for solving combinatorial optimization problems by chaotic dynamics. We mention both numerical algorithms with chaotic neural networks and hardware implementation. I. Chaos for avoiding local minima A. Mutual Connection Neural Network Dynamics Various methods are proposed for solving NP-hard combinatorial optimization problems, for example, traveling salesman problem ...

A numerical method for computational implementation of gradient dynamical systems is presented. The method is based upon the development of geometric integration numerical methods, which aim at preserving the dynamical properties of the original ordinary differential equation under discretization. In particular, the proposed method belongs to the class of discrete gradients methods, which subst...

One approach to characterizing interfacial stiffness is to introduce imperfect interfaces that allow displacement discontinuities whose magnitudes depend on interfacial traction and on properties of the interface or interphase region. This work implemented such imperfect interfaces into both finite element analysis and the material point method. The finite element approach defined imperfect int...

neither damage mechanics model nor elastoplastic constitutive law can solely describe the behavior of concrete satisfactorily. in fact, they both fail to represent proper unloading slopes during cyclic loading. to overcome the disadvantages of pure plastic models and pure damage approaches, the combined effects need to be considered. in this regard, various classes of plastic-damage models have...

in this paper, the chebyshev spectral collocation method(cscm) for one-dimensional linear hyperbolic telegraph equation is presented. chebyshev spectral collocation method have become very useful in providing highly accurate solutions to partial differential equations. a straightforward implementation of these methods involves the use of spectral differentiation matrices. firstly, we transform ...

In this paper we use radial basis functions to solve multivariable integral equations. We use collocation method for implementation. Numerical experiments show the accuracy of the method.