Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel

Computational and Applied Mathematics ◽

10.1007/s40314-019-0892-7 ◽

2019 ◽

Vol 38 (3) ◽

Author(s):

Bin Li ◽

Shuhuang Xiang ◽

Guidong Liu

Keyword(s):

Integral Equation ◽

Volterra Integral Equation ◽

Laplace Transforms ◽

Highly Oscillatory

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On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel

Applied Mathematics Letters ◽

10.1016/j.aml.2013.01.011 ◽

2013 ◽

Vol 26 (7) ◽

pp. 699-705 ◽

Author(s):

Junjie Ma ◽

Shuhuang Xiang ◽

Hongchao Kang

Keyword(s):

Integral Equation ◽

Volterra Integral Equation ◽

Convergence Rates ◽

Highly Oscillatory ◽

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Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp048 ◽

2010 ◽

Vol 31 (2) ◽

pp. 469-490 ◽

Author(s):

H. Wang ◽

S. Xiang

Keyword(s):

Integral Equation ◽

Asymptotic Expansion ◽

Volterra Integral Equation ◽

Highly Oscillatory

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Numerical Treatment of the Nonlocal Solution of Hammerstein –Volterra Integral Equation with Continuous Kernels

International Journal of Advanced Research in Computer Science and Software Engineering ◽

10.23956/ijarcsse/v7i3/01311 ◽

2017 ◽

Vol 7 (3) ◽

pp. 145-154

Author(s):

M. M. El- Kojok ◽

Keyword(s):

Integral Equation ◽

Volterra Integral Equation ◽

Numerical Treatment

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Solving Volterra integral equation by using a new transformation

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2020.1861787 ◽

2021 ◽

Vol 24 (3) ◽

pp. 735-741

Author(s):

Sahar Muhsen Jaabar ◽

Ahmed Hadi Hussain

Keyword(s):

Integral Equation ◽

Volterra Integral Equation

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A combination method for numerical solution of the nonlinear stochastic Itô-Volterra integral equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126302 ◽

2021 ◽

Vol 407 ◽

pp. 126302

Author(s):

Xiaoxia Wen ◽

Jin Huang

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Volterra Integral Equation ◽

Combination Method

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On approximate solutions of the generalized Volterra integral equation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2014.04.004 ◽

2014 ◽

Vol 20 ◽

pp. 59-66 ◽

Author(s):

Anna Bahyrycz ◽

Janusz Brzdȩk ◽

Zbigniew Leśniak

Keyword(s):

Integral Equation ◽

Volterra Integral Equation ◽

Approximate Solutions

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On the Volterra integral equation relating creep and relaxation

Inverse Problems ◽

10.1088/0266-5611/24/3/035009 ◽

2008 ◽

Vol 24 (3) ◽

pp. 035009 ◽

Author(s):

R S Anderssen ◽

A R Davies ◽

F R de Hoog

Keyword(s):

Integral Equation ◽

Volterra Integral Equation

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A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.037 ◽

2018 ◽

Vol 331 ◽

pp. 52-63 ◽

Author(s):

Yunxia Wei ◽

Yanping Chen ◽

Xiulian Shi

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Volterra Integral Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular

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Comparison of Two Wavelet Methods for Accurate Solution of Two-Dimensional Nonlinear Volterra Integral Equation

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-021-01198-x ◽

2021 ◽

Author(s):

S. Saha Ray ◽

S. Behera

Keyword(s):

Integral Equation ◽

Volterra Integral Equation ◽

Accurate Solution ◽

Two Dimensional ◽

Nonlinear Volterra Integral Equation ◽

Wavelet Methods

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Application of Simpson's method for solving singular Volterra integral equation

Malaya Journal of Matematik ◽

10.26637/mjm904/004 ◽

2021 ◽

Vol 9 (4) ◽

pp. 206-215

Author(s):

Mustapha YAHAYA ◽

Sirajo Lawan BICHI

Keyword(s):

Integral Equation ◽

Volterra Integral Equation

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