In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based on new chaotic system. Also this encryption algorithm can be used for gray scale or binary images. The experimental results of the encryption algorithm show that the encryption algorithm is secure and practical.
In this paper numerical solution of system of linear Fredholm integral equations by means of the Sinccollocation method is considered. This approximation reduces the system of integral equations to an explicit system of algebraic equations. The exponential convergence rate of the method O(e −k √ N ) is proved. The method is applied to a few test examples with continuous kernels to illustrate the accuracy and the implementation of the method.
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