2018
DOI: 10.29055/jcms/744
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Wavelet Based Lifting Schemes for the Numerical Solution of Parabolic Partial Differential Equations

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Cited by 6 publications
(7 citation statements)
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“…Regarding the convergence of the sliding mode observer, the detailed proof is given in this paper to ensure that it can achieve accurate estimation in finite time while satisfying the assumptions. From the overload characteristics, the relative change in the target's overload has a large magnitude and a long change duration, and although the absolute value of the overload change is not large in a short 4 Mathematical Problems in Engineering period, more accurate modeling of the target's motion must also be performed to perform a 50-100 s ballistic forecast, as shown in Figure 2. With the continuous action of the pressure load in the cabin, the units in the direction of the final explosive connection line are also all separated from the bulkhead.…”
Section: Analysis Of Mathematical Control Partial Differential Equati...mentioning
confidence: 99%
See 1 more Smart Citation
“…Regarding the convergence of the sliding mode observer, the detailed proof is given in this paper to ensure that it can achieve accurate estimation in finite time while satisfying the assumptions. From the overload characteristics, the relative change in the target's overload has a large magnitude and a long change duration, and although the absolute value of the overload change is not large in a short 4 Mathematical Problems in Engineering period, more accurate modeling of the target's motion must also be performed to perform a 50-100 s ballistic forecast, as shown in Figure 2. With the continuous action of the pressure load in the cabin, the units in the direction of the final explosive connection line are also all separated from the bulkhead.…”
Section: Analysis Of Mathematical Control Partial Differential Equati...mentioning
confidence: 99%
“…In general, it is difficult to find the exact solution to these control problems; therefore, it is important to study the efficient numerical solution algorithm to check the correctness of the mathematical model and the successful application of the optimal control problem. At present, the most important numerical method for solving optimal control problems with restricted partial differential equations is the finite element method [4]. In some extreme conditions, the air defense interceptor position may be destroyed by the attacking bomb before it is fully operational.…”
Section: Introductionmentioning
confidence: 99%
“…Its major advantage is the capacity to handle complex geometries and boundary conditions easily. Also, some wavelets such as the Haar wavelets [14], Daubechies wavelets [4], Chebyshev wavelets [15], Languerre wavelets [16], Hermite wavelets [17], etc exist in literature today. Some studies have shown that some of the existing wavelets were developed from existing orthogonal polynomials.…”
Section: Introductionmentioning
confidence: 99%
“…The given differential equations are transformed into system of algebraic equations, which are solved by using Newton's iterative method through Matlab. The Hermite Wavelet based Galerkin method has been designed by Shiralashetti et al [32] for finding the numerical solution of one dimensional partial differential equation. Shiralashetti et al [33] described a promising numerical method based on Hermite wavelets for finding the solution of second order delay differential equations, which play an important role in various fields of mathematical modelling.…”
Section: Introductionmentioning
confidence: 99%