Erwin Suazo, Sergeĭ K. Suslov, José Vega-Guzmán
Abstract
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We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered.
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We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered.
Key concepts: Riccati equation, Type (biology), Mathematics, Algebraic Riccati equation, Burgers' equation, Mathematical analysis, Linear-quadratic regulator, Applied mathematics