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Advanced approximation method with a convergence acceleration parameter for multidimensional aggregation model
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DOI：10.1016/j.ces.2026.124804.png)
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Abstract
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• A new approach based on acceleration parameters is developed for multidimensional aggregation models. • Optimal tuning of the acceleration parameter significantly enhances solution quality over extended temporal domains. • No Padé approximant is required for capturing solutions for longer time frames. • Existence and convergence analyses are conducted using the Banach contraction principle. • The new approach overcomes all existing issues, including inefficiency and accuracy limitations of current methods.
Keywords:
Nonlinear integro-partial differential equation
Convergence acceleration parameter
Existence theorem
Convergence analysis
Finite volume scheme
34A12
35Q70
45K05
47J35
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