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Numerical solution of differential and integral equations
Based on designed method of representation functions by parametric polynomials have been developed algorithm for solution of "initial-boundary value" problem. The solution of the source problem brings to integrate the system of ordinary differential equations, not resolved about time derivatives of approximating polynomial parameters. This integration makes with the use of developed for such systems algorithms. These algorithms have the 7-th order of accuracy with respect to the integrating step and are A and L-stable, also its allow to compute global error. Test computations have been made on example of Burgers equation.
Note. Abstracts are published in author's edition
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