Optimal Weighting Factor for Single-Step Trapezoidal Method
Keyword(s):
A new optimal weighting factor for a single-step trapezoidal method, θ = 0.618, has been developed to solve transient linear and nonlinear heat conduction problems. The numerical results based on the optimal weighting factor developed, through both linear and nonlinear benchmark tests, are compared with other commonly used single-step trapezoidal methods with emphasis on the combination of both accuracy and efficiency in the solution. The optimal weighting factor of single-step method has been proved to be very accurate, stable, and efficient. The relevant features for the single-step trapezoidal methods are also addressed.
1984 ◽
Vol 20
(5)
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pp. 931-948
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Keyword(s):
2003 ◽
Vol 43
(5)
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pp. 481-500
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2000 ◽
Vol 38
(7)
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pp. 719-738
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2003 ◽
Vol 44
(5)
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pp. 417-437
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2002 ◽
Vol 26
(11)
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pp. 1093-1111
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2020 ◽
2019 ◽
Vol 116
(40)
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pp. 19848-19856
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1994 ◽
Vol 188
(2)
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pp. 590-609
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