On Sixth Order of Accuracy Four-Step Difference Schemes for the Fourth-Order Differential Equations
摘要
Local and nonlocal boundary value problems for the fourth-order differential equations with dependent coefficients are studied. For solving these problems numerical solutions of novelly compact four-step difference schemes of sixth order of approximation generated by Taylor’s decomposition on five points are presented. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments.