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February 14, 2026Studies in Applied Mathematics

Analysis and Simulation of an Improved Fast Two‐Grid Mixed Element Method for a Nonlinear Time Fractional Pseudo‐Hyperbolic Equation

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Authors

YYYining YangNWNian WangCWCao Wen

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Overview

Analysis develops a fast two-grid algorithm to enhance efficiency in solving nonlinear time fractional equations, suggesting significant advancements in computational speed.

Key Points

  • The research aims to develop an efficient algorithm for solving nonlinear time fractional pseudo-hyperbolic equations.
  • Introduced auxiliary variables to transform the original problem into a lower-order coupled system.
  • Formulated a fully discrete nonlinear mixed element system for approximation in space and time.
  • Constructed a fast two-grid mixed finite element algorithm to reduce computational time.
  • Demonstrated significant improvements in computational efficiency compared to traditional nonlinear mixed element methods.
  • Established stability and error estimates for the new algorithm.

Cite This Study

Yang et al. (2026) studied this question.

synapsesocial.com/papers/699011932ccff479cfe585fbhttps://doi.org/10.1111/sapm.70182
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