Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
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Nana Dikhaminjia
Abstract
In the present work the Cauchy problem for an abstract evolution equation with a Lipschitz-continuous operator is considered, where the main operator represents the sum of positive definite self-adjoint operators. The fourth-order accuracy decomposition scheme is constructed for an approximate solution of the problem. The theorem on the error estimate of an approximate solution is proved. Numerical calculations for different model problems are carried out using the constructed scheme. The obtained numerical results confirm the theoretical conclusions.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Semilinear fractional order integro-differential inclusions with infinite delay
- Quasi-nilpotent perturbations of the generalized Kato spectrum
- Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
- Relations between BV*(q;α) and Λ*BVp classes of functions
- On the constancy of signs and order of magnitude of Fourier–Haar coefficients
- On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
- Optimal control problem for the equation of vibrations of an elastic plate
- Generalized Hausdorff capacities and their applications
- Approximation by bivariate (p,q)-Baskakov–Kantorovich operators
- A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field
- A note on the Borel types of some small sets
- On some boundary value problems for the heat equation in a non-regular type of a prism of ℝN+1
- Some weighted integral inequalities for differentiable h-preinvex functions
- Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras
- On Baer invariants of pairs of groups
- The Arzelà–Ascoli theorem by means of ideal convergence
- Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
Articles in the same Issue
- Frontmatter
- Semilinear fractional order integro-differential inclusions with infinite delay
- Quasi-nilpotent perturbations of the generalized Kato spectrum
- Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
- Relations between BV*(q;α) and Λ*BVp classes of functions
- On the constancy of signs and order of magnitude of Fourier–Haar coefficients
- On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
- Optimal control problem for the equation of vibrations of an elastic plate
- Generalized Hausdorff capacities and their applications
- Approximation by bivariate (p,q)-Baskakov–Kantorovich operators
- A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field
- A note on the Borel types of some small sets
- On some boundary value problems for the heat equation in a non-regular type of a prism of ℝN+1
- Some weighted integral inequalities for differentiable h-preinvex functions
- Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras
- On Baer invariants of pairs of groups
- The Arzelà–Ascoli theorem by means of ideal convergence
- Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
