Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations
Tallennettuna:
| Julkaisussa: | International Journal of Differential Equations vol. 2025 (2025) |
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| Päätekijä: | |
| Muut tekijät: | , , , |
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John Wiley & Sons, Inc.
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| Linkit: | Citation/Abstract Full Text Full Text - PDF |
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| 100 | 1 | |a Rufai, Uthman O |u School of Mathematics Statistics and Computer Science University of KwaZulu-Natal Scottsville, Pietermaritzburg 3209 South Africa | |
| 245 | 1 | |a Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations | |
| 260 | |b John Wiley & Sons, Inc. |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a The Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature. A spectral optimized multiderivative hybrid block method is proposed, constructed using a multistep collocation and interpolation technique with an approximated power series as the basis function. Incorporating two optimal intra-step points, the method demonstrates improved accuracy, with its consistency, convergence, and absolute stability rigorously analyzed. By combining the optimized multiderivative hybrid block method in time with a spectral collocation method in space, the approach demonstrates potency and flexibility in solving partial differential equations. Prior to using the spectral method, the partial differential equation is linearized using a linear partition technique. Numerical experiments confirm the accuracy and efficiency of the method compared to existing methods, demonstrating the potential of the method as a robust framework for solving partial differential equations requiring both high accuracy and stability. | |
| 653 | |a Basis functions | ||
| 653 | |a Accuracy | ||
| 653 | |a Methods | ||
| 653 | |a Stability | ||
| 653 | |a Numerical methods | ||
| 653 | |a Efficiency | ||
| 653 | |a Spectral methods | ||
| 653 | |a Collocation methods | ||
| 653 | |a Power series | ||
| 653 | |a Partial differential equations | ||
| 653 | |a Differential equations | ||
| 700 | 1 | |a Sibanda, Precious |u School of Mathematics Statistics and Computer Science University of KwaZulu-Natal Scottsville, Pietermaritzburg 3209 South Africa | |
| 700 | 1 | |a Goqo, Sicelo P |u School of Mathematics Statistics and Computer Science University of KwaZulu-Natal Scottsville, Pietermaritzburg 3209 South Africa | |
| 700 | 1 | |a Ahmedai, Salma A A |u School of Mathematics Statistics and Computer Science University of KwaZulu-Natal Scottsville, Pietermaritzburg 3209 South Africa | |
| 700 | 1 | |a Adeyemo, Adeyinka S |u School of Mathematics Statistics and Computer Science University of KwaZulu-Natal Scottsville, Pietermaritzburg 3209 South Africa | |
| 773 | 0 | |t International Journal of Differential Equations |g vol. 2025 (2025) | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3225275930/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3225275930/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3225275930/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |