Initial Boundary Value Problem for Partial Differential–Algebraic Equations With Parameter
Assanova A.T.
30 March 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 56180 - 6190 pp.
The paper addresses an initial boundary value problem for a partial differential–algebraic equation involving a parameter. An integral condition with respect to the time derivative of the unknown function is provided as an additional condition to determine this parameter. The Dzhumabaev parameterization method is employed to solve the problem. The domain is subdivided, and functional parameters are defined as the values of the solution along the internal lines of the subdomains. This reformulates the original problem into an equivalent initial boundary value problem for a system of hyperbolic equations with parameters and associated functional relations. The paper develops algorithms to solve the problem, demonstrating their applicability. Furthermore, conditions for the existence and uniqueness of a solution to the initial boundary value problem, involving the partial differential–algebraic equation with a parameter and discrete memory, are established.
algorithm , discrete memory , hyperbolic equations with parameters , initial boundary value problem , partial differential-algebraic equation , solvability
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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