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Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation

Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation
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摘要 The problem of solving the linear diffusion equation by a method related to the Restrictive Pade Approximation (RPA) is considered. The advantage is that it has the exact value at certain r. This method will exhibit several advantages for example highly accurate, fast and with good results, etc. The absolutely error is still very small. The obtained results are compared with the exact solution and the other methods. The numerical results are in agreement with the exact solution. The problem of solving the linear diffusion equation by a method related to the Restrictive Pade Approximation (RPA) is considered. The advantage is that it has the exact value at certain r. This method will exhibit several advantages for example highly accurate, fast and with good results, etc. The absolutely error is still very small. The obtained results are compared with the exact solution and the other methods. The numerical results are in agreement with the exact solution.
作者 Ahmet Boz Fevziye Gülsever Ahmet Boz;Fevziye Gülsever(Departments of Mathematics, Dumlupinar University, Kütahya, Turkey)
出处 《Journal of Applied Mathematics and Physics》 2016年第11期2031-2037,共7页 应用数学与应用物理(英文)
关键词 Restrictive Pade Approximation (RPA) Diffusion Equation Finite Difference Restrictive Pade Approximation (RPA) Diffusion Equation Finite Difference
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