Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method

Ali, Mohamed R.; Mousa, Mohamed M.; Ma, Wen‐Xiu

doi:10.1155/2019/1705651

Cited by 26 publications

(13 citation statements)

References 21 publications

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“…In this paper the obtained Ginzburg-Landau equation is tractable and hence an analytical solution is found. Alternately, one can use the HOBW method/Haar wavelet method used by Ali et al [24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Convection in a horizontal layer of water with three diffusing components

et al. 2020

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Triple diffusive convection in water is modelled with properties like density, specific heat, thermal conductivity, thermal diffusivity and thermal expansion, modified in the presence of salts. The Ginzburg-Landau equation is derived to study heat and mass transports of different combinations of salts in water. A table is prepared documenting the actual values of thermophysical properties of water with different salts and the critical Rayleigh number is calculated. This information is used in the estimation of Nusselt and Sherwood numbers and their relative magnitudes are commented upon. A detailed study on different single, double and triple diffusive systems is done and comparison is made of the results. The local nonlinear stability analysis made via a Ginzburg-Landau model mimics many properties of the original governing equations, namely, Hamiltonian character and a bounded solution.

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Section: Introductionmentioning

confidence: 99%

Convection in a horizontal layer of water with three diffusing components

et al. 2020

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“…For particle-fluid suspension, the governing equations we use are those suggested by Drew [3]. Since the flow in oesophagus is creeping flow and occlusions are comparable with the radius, we won't go for any perturbation technique for getting the solution of the problem, nor shall we use any recently developed technique for solution [14].…”

Section: Introductionmentioning

confidence: 99%

Fluid transport with suspended particles by means of dilating peristaltic waves

Pandey

Tiwari

2020

SN Appl. Sci.

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In the present study, transport of a Newtonian fluid containing uniformly distributed tiny particles moving in a cylindrical tube is investigated when the peristaltic wave amplitude dilates exponentially. Long wavelength approximation is used to get rid of non-linear inertia terms. It is observed that dilation of wave-amplitude during propagation enhances pressure but reduces it with rising concentration of particulate suspension. Pressure rises with the amplitude dilation parameter in case solid particles are suspended in the fluid. Pressure is also observed to increase in the distal part of the tube.

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“…In view of these problems, scholars also put forward corresponding solutions. HOBW method for solving the nonlinear and unsteady process is introduced in the literature [19].A fuzzy information infusion method is proposed in Literature [20]. The divergence of multi sensors information fusion filter is studied in Literature [21].…”

Section: Introductionmentioning

confidence: 99%

Radar seeker performance evaluation based on information fusion method

et al. 2020

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Radar seeker is responsible for transmitting the dynamic position information of the target back to the weapon control center in the guidance phase. It is of great engineering significance to evaluate the anti-jamming ability of radar seeker in the anti-jamming environment Aimed at obtaining more reasonable evaluation result, an evaluation method based on information fusion is proposed against the background of angle measurement performance in this paper. Radar seeker performance test have many stages with different characteristics. Information fusion has advantages in radar performance evaluation which takes advantage of measured data obtained in different stages rather than process them respectively. Furthermore, we studied two specific issues in the information-fusion stage. The first problem is about consistency testing between different information using K-L information distance measurement, which is the premise of information fusion. The second problem is about the information weights calculation by PLT criterion, which can take sample size into account. Information fusion can make full use of the multi-source test information to obtain more reliable evaluation conclusion. Experimental results prove the effectiveness of the proposed method.

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Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method

Cited by 26 publications

References 21 publications

Convection in a horizontal layer of water with three diffusing components

Convection in a horizontal layer of water with three diffusing components

Fluid transport with suspended particles by means of dilating peristaltic waves

Radar seeker performance evaluation based on information fusion method

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