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Differential transform method: A comprehensive review and analysis [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
The complexity of solving differential equations in real-world applications motivates researchers to extend numerical methods. Among different numerical and semi-analytical methods for solving initial and boundary value problems, the differential ...
S.H. Hashemi Mehne
doaj   +1 more source

Initial Value Problems of Semilinear Supdiffusion Equations

open access: yesMathematics, 2020
We consider the existence of a mild solution of supdiffusion equations and obtain some results under some growth and noncompactness conditions of nonlinearity without coefficient restriction; and some new results for Ulam-Hyers-Rassias stability are ...
Yabing Gao, Yongxiang Li
doaj   +1 more source

Rational Approximation Method for Stiff Initial Value Problems

open access: yesMathematics, 2021
While purely numerical methods for solving ordinary differential equations (ODE), e.g., Runge–Kutta methods, are easy to implement, solvers that utilize analytical derivations of the right-hand side of the ODE, such as the Taylor series method ...
Artur Karimov   +3 more
doaj   +1 more source

On a SHOCKLEY-READ-HALL model for semiconductors [PDF]

open access: yesTheoretical and Applied Mechanics, 2013
The Shockley-Read-Hall model was introduced in 1952 to describe the statistics of recombination of holes and electrons in semiconductors occurring through the mechanism of trapping and we consider initial-boundary value problems with initial ...
Knežević-Miljanović Julka
doaj   +1 more source

On the Non-Local Boundary Value Problem from the Probabilistic Viewpoint

open access: yesMathematics, 2022
We provide a short introduction of new and well-known facts relating non-local operators and irregular domains. Cauchy problems and boundary value problems are considered in case non-local operators are involved.
Mirko D’Ovidio
doaj   +1 more source

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