The numerical solution of singular initial value problems using Chebyshev wavelet collocation method
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The well-known explicit linear multistep methods for the numerical solution of ordinary differential equations advance the numerical solution from xn+k_x to xn+k ky comPut'ng some numerical approximation from back values and then evaluating the problem defining function to obtain
A new algorithm is presented for solving Troesch’s problem. The numerical scheme based on the sinc-collocation technique is deduced. The equation is reduced to systems of nonlinear algebraic equations. Some numerical experiments are made. Compared with the modified homotopy pertu
Abstract A modified collocation method for the numerical solving boundary value problems of mathematical physics is proposed. The irregular arrangement nodes in problem domain can sharply increase accuracy solution by improving quality linear algebraic equations system, to which
Like many numerical methods, solvers for initial value problems (IVPs) on ordinary differential equations estimate an analytically intractable quantity, using the results of tractable computations as inputs. This structure is closely connected to the notion of inference on latent
A new Runge-Kutta-Nyström method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method is based on the Dormand and Prince RungeKutta-Nyström method of algebraic order four[1]. Numerical il