On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7457
Abstract: This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem (1+δy)y′′+2x(1+γy)y′=0,0 read more here.
Keywords: existence uniqueness; approximate solution; uniqueness new; new analytic ... See more keywords
Analytic approximate solutions for a class of variable order fractional differential equations using the polynomial least squares method
Sign Up to like & getrecommendations! Published in 2017 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2017-0054
Abstract: Abstract In this paper a new way to compute analytic approximate polynomial solutions for a class of nonlinear variable order fractional differential equations is proposed, based on the Polynomial Least Squares Method (PLSM). In order… read more here.
Keywords: order; solutions class; analytic approximate; fractional differential ... See more keywords
Stabilization and Analytic Approximate Solutions of an Optimal Control Problem
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DOI: 10.1515/phys-2018-0064
Abstract: Abstract This paper analyses a dynamical system derived from a left-invariant, drift-free optimal control problem on the Lie group SO(3) × ℝ3 × ℝ3 in deep connection with the important role of the Lie groups… read more here.
Keywords: control; control problem; approximate solutions; analytic approximate ... See more keywords
Scope and Accuracy of Analytic and Approximate Results for FIFO, Clock-Based and LRU Caching Performance
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DOI: 10.3390/fi15030091
Abstract: We evaluate analysis results and approximations for the performance of basic caching methods, assuming independent requests. Compared with simulative evaluations, the analysis results are accurate, but their computation is tractable only within a limited scope.… read more here.
Keywords: analytic approximate; accuracy analytic; scope accuracy; scope ... See more keywords