Results 31 to 40 of about 73,046 (353)

An integral equation–based numerical method for the forced heat equation on complex domains [PDF]

Advances in Computational Mathematics, 2020
AbstractIntegral equation–based numerical methods are directly applicable to homogeneous elliptic PDEs and offer the ability to solve these with high accuracy and speed on complex domains. In this paper, such a method is extended to the heat equation with inhomogeneous source terms.
Fredrik Fryklund, Mary Catherine A. Kropinski, Anna-Karin Tornberg   +2 more
openaire   +2 more sources

Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]

Mathematics and Computational Sciences
The presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
doaj   +1 more source

Numerical solution of certain Cauchy singular integral equations using a collocation scheme

Advances in Difference Equations, 2020
The present study is devoted to developing a computational collocation technique for solving the Cauchy singular integral equation of the second kind (CSIE-2). Although, several studies have investigated the numerical approximation solution of CSIEs, the
Ali Seifi
doaj   +1 more source

Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D

, 2013
This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
Mikhailov, SE, Rjasanow, S, Grzhibovskis, R   +2 more
core   +1 more source

Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

Journal of Function Spaces, 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami, Mohamed A. Abdou, Amr M. S. Mahdy   +2 more
doaj   +1 more source

Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients

, 2011
This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with ...
Mikhailov, SE, O. Chkadua, S. E. Mikhailov, Natroshvili, D, D. Natroshvili   +4 more
core   +1 more source

Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]

, 2012
This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L, Ravnik, J., AL-Jawary, M.A., Al-Jawary, MA, Wrobel, L.C., Wrobel, LC, Škerget, L., Ravnik, J   +7 more
core   +1 more source

Prognosis of Long‐Term Continuous Renal Replacement Therapy and the Impact of Combined Continuous Intravenous Sodium Infusion Therapy

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi, Atsuyoshi Mita, Kosuke Sonoda, Makoto Harada, Koji Hashimoto, Hiroshi Imamura, Yuji Kamijo   +6 more
wiley   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation [PDF]

Abstract and Applied Analysis, 2014
We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear Volterra integral equation.
Mamba, H. S., Khumalo, M.
openaire   +3 more sources