In this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. application of proposed leads equation to system algebraic equations that are easy solve. Some examples presented and compared with some methods in literature illustrate ability technique. results demonstrate more efficient, convergent, accurate exa...

Purpose – To present a new collocation method for numerically solving partial differential equations (PDEs) in rectangular domains. Design/methodology/approach – The proposed method is based on a Cartesian grid and a one-dimensional integrated-radial-basis-function (1D-IRBF) scheme. The employment of integration to construct the RBF approximations representing the field variables facilitates a ...

in this paper, an effective technique is proposed to determine thenumerical solution of nonlinear volterra-fredholm integralequations (vfies) which is based on interpolation by the hybrid ofradial basis functions (rbfs) including both inverse multiquadrics(imqs), hyperbolic secant (sechs) and strictly positive definitefunctions. zeros of the shifted legendre polynomial are used asthe collocatio...

Collocation has always been an important issue in language research, especially in Chinese language researches. Chinese is an isolated language, which lacks morphological changes.Establishing a relatively complete dictionary of Chinese collocation will be a great contribution to Chinese study and research. Collocation plays a significant supporting role in many fields of NLP, such as informatio...