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PSEUDOSPECTRAL METHOD FOR SECOND-ORDER AUTONOMOUS NONLINEAR DIFFERENTIAL EQUATIONS on the Chebyshev differentiation matrix with Chebyshev-Gauss-Lobatto points to solve these problems. Moreover, we
ПСЕВДОСПЕКТРАЛЬНЫЙ МЕТОД В ПРИЛОЖЕНИИ К РЕШЕНИЮ ДИФФЕРЕНЦИАЛЬНОГО УРАВНЕНИЯ БЕССЕЛЯDifferentiation matrix
Chebyshev Pseudospectral Method Computing Eigenvalues for Ordinary Differential Equations with Homogeneous Dirichlet Boundary Condition basing on the Chebyshev-Gauss-Lobatto points to create the differential matrices. The Mathematica version
Operational matrix approach for solving variable-order fractional integro-differential equationsIn this paper, we use shifted fourth-kind Chebyshev polynomials to construct the operational matrix
A new algorithm used the Chebyshev pseudospectral method to solve the nonlinear second-order Lienard differential equations. This algorithm based on the pseudospectral method using the Chebyshev differentiation matrix (CPM). In this paper
Regularized computation of oscillatory integrals with stationary points of the system of ordinary differential equations. Using the Levin's collocation method, we reduce the problem
Regularized Computation of Oscillatory Integrals with Stationary Points of the system of ordinary differential equations. Using the Levin's collocation method, we reduce the problem
Stable Algorithm of Integrating Rapidly Oscillating FunctionsChebyshev differentiation matrix
A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method; [Новый подход к формированию систем линейных алгебраических уравнений для решения обыкновенных дифференциальных уравнений методом коллокаций] integration matrix (inverse to the Chebyshev differentiation matrix) by the vector of interpolation
Chebyshev collocation method for solving second order ODEs using integration matrices differential equations is implemented, based on representing the solution as an expansion in Chebyshev
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