Approximation of the Stieltjes Integral and Applications in Numerical Integration [PDF]
, 2003 Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand.
Cerone, Pietro, Dragomir, Sever S
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Stress analysis of thin and thick plates on elastic foundations using boundary and finite element methods [PDF]
, 1991 In this work an attempt has been made to derive a full finite element and boundary element theory for the analysis of thin and thick plates on elastic foundations. A new high order shear finite element capable of the analysis of thin thick plates has
Al-Hosani, Khaleel Ibrahim Abdulla
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Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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A Reliable Numerical Treatment of Differential Equations via Hybrid Bernstein and Improved Block-Pulse Functions [PDF]
Egyptian Journal of Pure and Applied ScienceMany branches of practical mathematics rely heavily on numerical solutions to initial value problems, boundary value problems, and eigenvalue problems for ordinary and partial differential equations.
Mohamed Ramadan, Heba Osheba
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Advances in Difference Equations, 2020 This paper presents a fundamental solution method for nonlinear fractional regularized long-wave (RLW) models. Since analytical methods cannot be applied easily to solve such models, numerical or semianalytical methods have been extensively considered in
Mehmet Yavuz, Thabet Abdeljawad
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Use of the repeated integral transformation method to describe the transport of solute in soil
Heliyon, 2023 Predicting the fate and transport of contaminants in soil or groundwater systems using analytical or numerical models is crucial for environmental researchers.
Elias Mwakilama +2 more
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Formation of Probing Signals of Piezoelectric Transducers for Ultrasonic Testing
Известия высших учебных заведений России: Радиоэлектроника, 2023 Introduction. Reducing the duration of the probing pulse at the output of a multilayer radiator is an urgent task of acoustic non-destructive testing. This not only improves the resolution of the system and the accuracy of determining the coordinates of ...
S. I. Konovalov, Z. M. Yuldashev
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Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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Journal of Mathematics and Computer Science, 2013 In this paper we use differential transform method for solving nonlinear and linear Volterra integral equation with the kernel as ( − ) by using an efficient technique. We approximate the kernel of integral equation with Taylor series and make integral equation simpler by using some techniques that when we use differential transform method,
Hadis Seiheii +2 more
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