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Deferred Correction Methods for Initial Boundary Value Problems
Journal of Scientific Computing, 2002The numerical solution of the linear problem \[ {\partial u\over\partial t}={\mathcal P}(u)+ F(x,t),\quad u(x,0)= f(x) \] with appropriate boundary conditions by the method of lines gives rise to a large system of ordinary differential equations.
Wendy Kress, Bertil Gustafsson
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Initial-value methods for boundary-value problems
1987As we saw in Chapter 1, a boundary-value problem is one in which conditions associated with the differential equations are specified at more than one point. Here we shall concentrate on the existence of just two boundary points, which is the most usual case.
L. Fox, D. F. Mayers
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Application to semilinear initial-boundary value problems
1991This chapter is devoted to the semigroup approach to a class of initialboundary value problems for semilinear parabolic differential equations. We prove Theorem 1.5 by using the theory of fractional powers of analytic semigroups (Theorems 10.1 and 10.2). To do this, we verify that all the conditions of Theorem 2.8 are satisfied.
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Initial‐Boundary‐Value Stability Problem for the Blasius Boundary Layer
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995AbstractDas lineare Anfangs‐Randwert‐Stabilitätsproblem für die zwei‐dimensionalen Störungen in der Blasiusschen Grenzschicht‐strömung wird mittels Fourier‐Laplace‐Transformation formal behandelt. Das resultierende inhomogene Randwertproblem für die Orr‐Sommerfeld‐Gleichung wird analytisch untersucht, wobei im Unendlichen der Grenzschicht die ...
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The Initial-Boundary-Value Problems in the Theory of Micropolar Fluids
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1978AbstractThe author considers the existence of solutions of the initial‐boundary‐value problem for the equations which describe the flow of incompressible micropolar fluids, by using a related, simpler set of equations and then taking a limit.
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Well-posedness of the initial-boundary value problem for the Hirota equation on the half line
Journal of Mathematical Analysis and Applications, 2021Jun Wu
exaly

