THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD

Longfei Gu; Yuanyuan Liu

doi:10.11948/20190168

2020 Volume 10 Issue 1

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Longfei Gu, Yuanyuan Liu. THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 326-334. doi: 10.11948/20190168

Citation:

Longfei Gu, Yuanyuan Liu. THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 326-334. doi: 10.11948/20190168

THE APPROXIMATE SOLUTION OF RIEMANN TYPE PROBLEMS FOR DIRAC EQUATIONS BY NEWTON EMBEDDING METHOD

Longfei Gu^1,,
Yuanyuan Liu^1, ,

1.
Department of Mathematics, Linyi University, Linyi Shandong, 276005, China

Author Bio: Email address: glfcool@163.com(L. Gu)
Corresponding author: Email address: liuyuanyuan1117@163.com(Y. Liu)

Abstract

Abstract

We study an existence and uniqueness for the nonlinear Riemann type problem and also give an error estimation for the approximate solutions in the Newton embedding procedure in higher dimensional spaces. Clifford analysis plays a key role in our approach.
- Dirac equations /
- Riemann type problems /
- Newton embedding method /
- Clifford analysis
MSC: 30G35, 34B15, 11F85, 32A5

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References

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