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Numerical method for a nonlinear boundary integral equation

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maleknejad, K., Mesgarani, H.
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Analysis and Application of an Iterative Numerical Method for Volterra Integral Equations of the Second Kind

Journal of Education for Pure Science
Volterra integral equations of the second kind are important for studying systems that remember past events and change over time. They are often used in physics, biology, and engineering.
Nazhan Al-Din Ahmed Jasim Obeid
semanticscholar   +1 more source

Local Linearization Method for Numerical Integration of Delay Differential Equations

SIAM Journal on Numerical Analysis, 2006
The article introduces an integration scheme for delay differential equations (DDEs) based on local linearization. The method as introduced is feasible for systems of DDEs with a finite number of fixed delays (even though, it is likely to be extensible to DDEs with variable or distributed delays). It requires knowledge of the Jacobian of the right-hand-
Jimenez, J. C.   +3 more
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Numerical methods for integrating chemical kinetic rate equations

International Journal of Computer Mathematics, 1986
In this paper we present a numerical method which is suitable for the integration of chemical rate equations. These equations are normally extremely stiff due to large differences in the kinetic rate coefficients. The method takes advantage of the fact that the Jacobian matrix is readily obtainable for this type of problem. Stability analysis will also
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Iterative Numerical Methods for Some Integral Equations Arising in Rheology

Transactions of the Society of Rheology, 1970
One of the first applications of integral equation inversion techniques in rheology was the exact result of Weissenberg, which enables the shear curve to be obtained from a laminar pipeflow experiment. It is shown that numerical solution of the integral equations occurring for this and other common experiments may be used instead.
Tanner, R. I., Williams, G.
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Numerical scheme for solving system of fractional partial differential equations with Volterra‐type integral term through two‐dimensional block‐pulse functions

Numerical Methods for Partial Differential Equations, 2019
In the current study, an approximate scheme is established for solving the fractional partial differential equations (FPDEs) with Volterra integral terms via two‐dimensional block‐pulse functions (2D‐BPFs).
Jiaquan Xie   +4 more
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Numerical contour integral methods for unsteady Stokes equations

Computers & Mathematics with Applications, 2018
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Precision and efficiency of an interpolation approach to weakly singular integral equations

International Journal of Numerical Methods for Heat & Fluid Flow
Purpose This study aims to discuss the numerical solutions of weakly singular Volterra and Fredholm integral equations, which are used to model the problems like heat conduction in engineering and the electrostatic potential theory, using the modified ...
I. Bhat   +4 more
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Analysis of efficient discretization technique for nonlinear integral equations of Hammerstein type

International Journal of Numerical Methods for Heat & Fluid Flow
Purpose This study focuses on investigating the numerical solution of second-kind nonlinear Volterra–Fredholm–Hammerstein integral equations (NVFHIEs) by discretization technique.
I. Bhat   +3 more
semanticscholar   +1 more source

Generalized log orthogonal functions spectral collocation method for two dimensional weakly singular Volterra integral equations of the second kind

Numerical Methods for Partial Differential Equations
In this article, a generalized log orthogonal functions (GLOFs)‐spectral collocation method to two dimensional weakly singular Volterra integral equations of the second kind is proposed. The mild singularities of the solution at the interval endpoint can
Qiumei Huang, Min Wang
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