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The Lamb-Bateman integral equation and the fractional derivatives
, 2010 The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essentially the Abel integral equation and its solution can be obtained using the
Babusci, D., Dattoli, G., Sacchetti, D.
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An approximation method for the solution of nonlinear integral equations [PDF]
, 2006 A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
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Population Ecology, EarlyView.We investigate the seasonal dynamics of two freshwater snails, Biomphalaria straminea and Melanoides tuberculata, in artificial reservoirs of the Brazilian semiarid region. Despite regulated hydrology, B. straminea exhibited strong seasonal fluctuations associated with dry periods, while M. tuberculata maintained stable populations throughout the year,
Lucas Henrique Sousa da Silva +6 more
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Renmin Zhujiang, 2020 Reservoir flood regulating calculation can be divided into two methods: solving ordinary differential equation and solving integral equation, of which the method of solving integral equation is more widely used in engineering.
ZHOU Bin
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Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation
Advances in Mathematical Physics, 2022 In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied.
Nimona Ketema Kebeba, Gizaw Debito Haifo
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The solution of an integral equation [PDF]
Proceedings of the American Mathematical Society, 1973 Various methods are developed to solve the integral equation f ( x ) = ∫ 0 ∞ g ( t ) k ( x t ) d t f(x) = \int _0^\infty {g(t)} k(xt)dt , when the Mellin transform
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An integral equation based numerical solution for nanoparticles illuminated with collimated and focused light [PDF]
, 2009 To address the large number of parameters involved in nanooptical problems, a more efficient computational method is necessary. An integral equation based numerical solution is developed when the particles are illuminated with collimated and focused ...
Challener +26 more
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Population Ecology, EarlyView.Bear management changes management actions according to the horizontal axis of the population size and the vertical axis of the number of nuisance bears. Aiming for the target population size of Ntar, Actions I and II protect the bears, and Action IV reduces the population.
Hiroyuki Matsuda +5 more
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
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On a special integral equation [PDF]
Proceedings of the American Mathematical Society, 1959 2. J. Myhill, Creative sets, Z. Math. Logik Grundlagen Math. vol. 1 (1955) pp. 97-108. 3. S. Kleene, On notation for ordinal numbers, J. Symb. Logic vol. 3 (1938) pp. 150-155. 4. , Arithmetical predicates and function quantifiers, Trans. Amer. Math. Soc. vol. 79 (1955) pp. 312-340. 5. C. Spector, Recursive well orderings, J. Symb. Logic, vol. 20 (1955)
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