Search Results - "Collocation methods"

Physics-informed neural networks utilizing the Legendre-Gauss-Lobatto collocation method for solving differential-algebraic equation with discrete event.

Authors: Che, Canyi Zhao, Qingli Yang, Funing et al.

Source: Electronic Research Archive. 2026, Vol. 34 Issue 6, p1-27. 27p.

Capturing Multiple Singularities with Spectral Accuracy for Multi-Term Fractional Differential Equations.

Authors: Fu, Han Zhao, Tinggang Gong, Benxue

Source: Mathematics (2227-7390). Jun2026, Vol. 14 Issue 11, p1875. 26p.

A Collocation Method Using Diagonal Polynomials for Pricing Geometric Asian Options Under the Mixed Fractional Heston Model.

Authors: Alsenafi, Abdulaziz Alazemi, Fares

Source: Mathematics (2227-7390). May2026, Vol. 14 Issue 9, p1439. 29p.

An enhanced ultraspherical collocation framework with Chebyshev nodes for the time-fractional FitzHugh–Nagumo equation.

Authors: Youssri, Youssri Hassan Shaikh, Muhammad Mujtaba Batiha, Iqbal M. et al.

Source: AIMS Mathematics. 2026, Vol. 11 Issue 5, p1-34. 34p.

Numerical Solutions of Nonlinear Delay Mixed Integral Equation in Two Dimensions via Collocation Method Based on Chebyshev and Legendre Polynomials.

Authors: Al-Bugami, Abeer M. Al-Harbi, Rola S. Mahdy, Amr M. S.

Source: Mathematical & Computational Applications. Apr2026, Vol. 31 Issue 2, p59. 19p.

NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS.

Authors: ADEBIYI, A. F. UDOYE, A. M. AKINOLA, L. S. et al.

Source: TWMS Journal of Applied & Engineering Mathematics; 2026, Vol. 16 Issue 3, p397-408, 12p

ON AN APPROXIMATE SOLUTION OF ONE CLASS OF SYSTEMS OF INTEGRAL EQUATIONS OF THE SECOND KIND.

Authors: KHALILOV, E. H.¹ elnurkhalil@mail.com

Source: Baku Mathematical Journal. Mar2026, Vol. 5 Issue 1, p3-12. 10p.

Meshless collocation methods for time-dependent nonlocal problems based on radial basis functions.

Authors: Zhuang, Qiao Zhang, Yanzhi Zhang, Zhongqiang

Source: Electronic Research Archive. 2026, Vol. 34 Issue 2, p1-33. 33p.

Numerical Solutions via Shifted Pell Polynomials for Third-Order Rosenau–Hyman and Gilson–Pickering Equations.

Authors: Abdelkawy, Mohamed A. Abd-Elhameed, Waleed Mohamed Alzahrani, Seham S. et al.

Source: Mathematics (2227-7390). Feb2026, Vol. 14 Issue 3, p582. 21p.

Error-control B-spline Gaussian collocation PDE software with event detection.

Authors: Pew, Jack Tannahill, Connor Muir, Paul

Source: AIMS Mathematics. 2026, Vol. 11 Issue 2, p1-26. 26p.

Efficient Jacobian Spectral Collocation Method for Spatio-Dependent Temporal Tempered Fractional Feynman-Kac Equation.

Authors: Zhao, Tinggang Zhao, Lijing

Source: Communications on Applied Mathematics & Computation. Feb2026, Vol. 8 Issue 1, p63-86. 24p.

The Impact on Triple/N-Way Collocation-Based Validation of Remote Sensing Products Due to Non-Ideal Error Statistics.

Authors: Balasubramaniam, Rajeswari Ruf, Christopher

Source: Remote Sensing. Nov2025, Vol. 17 Issue 22, p3751. 21p.

Subjects: Remote sensing, Collocation methods, Analysis of variance, Statistical errors, Computer simulation, Calibration

COLLOCATION METHOD OF SOLVING 4^th ORDER DIFFERENTIAL AND INTEGRO-DIFFERENTIAL EQUATION USING CANONICAL POLYNOMIALS BASIS FUNCTIONS.

Authors: UWAHEREN, O. A. OWOEYE, C. A. ALADE, Y. A. et al.

Source: Journal of Fractional Calculus & Applications. Jan2026, Vol. 17 Issue 1, p1-11. 11p.

An efficient series polynomial collocation method for solving matrix differential equations.

Authors: Sadek, Lakhlifa Aldawish, Ibtisam

Source: AIMS Mathematics. 2026, Vol. 11 Issue 1, p1-21. 21p.

A Taylor Collocation Approach for Solving Systems of Two-Dimensional Volterra Integral Equations.

Authors: Hennous, C. Laib, H.

Source: Nonlinear Dynamics & Systems Theory. 2026, Vol. 26 Issue 1, p29-40. 12p.

Numerical Solutions of Oscillatory Dynamics via Haar Wavelets.

Authors: M. S., Sheela Basti, D. P. Sateesha, Channaveerapala et al.

Source: Journal of Computational Analysis & Applications; 2025, Vol. 34 Issue 10, p346-363, 18p

Fractional-order Chelyshkov collocation method for solving variable-order fractional differential equations.

Authors: Al-Sharif, M. S. Ahmed, A. I. Salim, M. S.

Source: Journal of Inequalities & Applications. 12/11/2025, Vol. 2026 Issue 1, p1-21. 21p.

A Bernstein Roots–Based Numerical Framework for Solving SecondOrder Eigenvalue Problems with Enhanced Stability.

Authors: Shareef, Esaa Ghanim M., essakanm7@gmail.com

Source: Journal of Computational Analysis & Applications; 2025, Vol. 34 Issue 8, p359-368, 10p

NUMERICAL SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION BY COLLOCATION PELL-LUCAS POLYNOMIAL METHOD.

Authors: MEHRANPOUR, S. DAMIRCHI, J.

Source: TWMS Journal of Applied & Engineering Mathematics; 2025, Vol. 15 Issue 7, p1646-1660, 15p

Application of Haar-scale-3 wavelet collocation method to the solution of Fitzhugh–Nagumo non-linear partial differential equation.

Authors: Arora, Sonia Kumar, Ratesh

Source: Research in Mathematics. Dec2025, Vol. 12 Issue 1, p1-10. 10p.