Objective: The main purpose of this work is to present a fourth-order fitted mesh scheme for solving the semilinear singularly perturbed reaction-diffusion problem to produce more accurate solutions.
Results: Quasilinearization technique is used to linearize the semilinear term. The scheme is formulated with discretizing the solution domain piecewise uniformly and then replacing the differential equation by finite difference approximations. This gives the system of difference algebraic equations and is solved by the Thomas algorithm. Convergence analysis are investigated using solution bound and the truncation error bound. Numerical illustrations are investigated to support the theoretical results and the method's applicability. The method produces a more accurate solution than some existing methods in the literature.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10685493 | PMC |
| http://dx.doi.org/10.1186/s13104-023-06631-5 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Hybrid in-situ and ex-situ hydrolysis of catalytic epoxidation neem oil via a peracid mechanism.
Sci Rep
January 2025
Chemical Engineering Studies, College of Engineering, Universiti Teknologi MARA, Cawangan Johor, Kampus Pasir Gudang, Masai Johor, 81750, Malaysia.
The depletion of oil reserves and their price and availability volatility raise researchers' concerns about renewable resources for epoxidized material. This study aims to produce in situ and ex-situ hydrolyzed dihydroxy stearic acid via the epoxidation of neem oil. Epoxidized neem oil was synthesized using in situ-generated performic acid.
View Article and Find Full Text PDFThe impact of diffusion tensor imaging tractography settings on muscle fascicle architecture and diffusion parameter estimates: Tract length, completion, and curvature are most sensitive to tractography settings.
NMR Biomed
November 2024
Carle Clinical Imaging Research Program, Stephens Family Clinical Research Institute, Carle Health, Urbana, Illinois, USA.
Diffusion-tensor (DT)-MRI tractography provides information about properties relevant to muscle health and function, including estimates of architectural properties such as fascicle length, pennation angle, and curvature and diffusion properties such as mean diffusivity (MD) and fractional anisotropy (FA). Tractography settings, including integration algorithms, thresholds for early tract termination, and tract smoothing approaches, impact the accuracy of the muscle property estimates. However, muscle DT-MRI tractography is performed using a variety of these settings, complicating comparisons between different studies.
View Article and Find Full Text PDFThe anion photoelectron spectrum and diabatization of tetrazolyl.
J Chem Phys
June 2024
Department of Chemistry, Johns Hopkins University, Baltimore, Maryland 21218, USA.
The potential energy surface of tetrazolyl [cyclic (N4CH)] has a conical intersection seam between the two lowest-energy electronic states near the ground state minimum geometry. This work treats that molecule. The potential energy surfaces used in this study are based on a least-squares fitting procedure that includes ab initio energies, energy gradients, and derivative couplings described using polynomials up to fourth-order and ab initio data obtained from multireference configuration interaction wave functions.
View Article and Find Full Text PDFAccurate Range Modeling for High-Resolution Spaceborne Synthetic Aperture Radar.
Sensors (Basel)
May 2024
Key Laboratory of Electronics and Information Technology for Space Systems, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China.
Spaceborne synthetic aperture radar (SAR) is an advanced microwave imaging technology that provides all-weather and all-day target information. However, as spaceborne SAR resolution improves, traditional echo signal models based on airborne SAR design become inadequate due to the curved orbit, Earth rotation, and increased propagation distance. In this study, we propose an accurate range model for high-resolution spaceborne SAR by analyzing motion trajectory and Doppler parameters from the perspective of the space geometry of spaceborne SAR.
View Article and Find Full Text PDFShrub avoidance by an open-adapted ground squirrel in a shrub-encroached environment.
PLoS One
February 2024
School of Natural Resources and the Environment, University of Arizona, Tucson, AZ, United States of America.
Habitat loss and degradation are leading drivers of the widespread decline in wildlife populations, and understanding how wildlife perceive and navigate their environment is useful for predicting responses to future landscape changes. Small mammals play an important role in their environments, however, many species are threatened by rapid environmental change. The Harris' antelope squirrel (Ammospermophilus harrisii) is endemic to the Sonoran Desert but faces multiple landscape changes due to anthropogenic activity.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!