Advances in Iterative Methods and Stability Analysis for Solving Nonlinear Problems

A special issue of AppliedMath (ISSN 2673-9909).

Deadline for manuscript submissions: 31 October 2025 | Viewed by 728

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Department of Mechanical Engineering, National United University, Miaoli 360302, Taiwan
Interests: numerical analysis; forward/inverse/backward problems; spindles vibration and heat analysis; GPU/CPU computation
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Special Issue Information

Dear Colleagues,

Nonlinear problems have been investigated in science, mathematics, and engineering. Recent advancements in iterative methods have improved convergence rates and reduced computational costs, making them more efficient for complex problems.

Nonlinear problems have a wide range of applications, including mechanics, heat conduction, acoustics, semiconductors, medical imaging, nondestructive testing, physics, systems biology, finance, robotics, computer vision, radar, thermoelastics, and groundwater.

This Special Issue of AppliedMath focuses on the present mathematical theory and simulation regarding nonlinear problems and how they relate to their applications in engineering and science.

Dr. Chih-Wen Chang
Guest Editor

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Keywords

  • nonlinear problems
  • iterative methods
  • stability analysis
  • mathematical modeling
  • fractional problems
  • ordinary/partial differential equations
  • meshless methods
  • applications

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Published Papers (1 paper)

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Research

14 pages, 268 KiB  
Article
Ricci–Yamabe Solitons on Sasakian Manifolds with the Generalized Tanaka–Webster Connection
by Abdul Haseeb
AppliedMath 2025, 5(1), 22; https://doi.org/10.3390/appliedmath5010022 - 3 Mar 2025
Viewed by 420
Abstract
In this article, we analyze some curvature restrictions satisfying by the concircular curvature tensor in (2n+1)-dimensional Sasakian manifolds with the generalized Tanaka–Webster connection ¯ admitting Ricci–Yamabe solitons. Finally, we give an example of three-dimensional Sasakian manifolds [...] Read more.
In this article, we analyze some curvature restrictions satisfying by the concircular curvature tensor in (2n+1)-dimensional Sasakian manifolds with the generalized Tanaka–Webster connection ¯ admitting Ricci–Yamabe solitons. Finally, we give an example of three-dimensional Sasakian manifolds which verifies some of our findings. Full article
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