Numerical Solution of Third Order Nonlinear PIDEs with a Weakly Singular Kernel Using B Splines and Sinc Collocation Method

Key Points

• To develop numerical solutions for third-order nonlinear partial integral differential equations (PIDEs) with a weakly singular kernel.
• Utilized B-splines for function approximation.
• Applied Sinc collocation method for numerical solution.
• Focused on third order PIDEs with nonlinearity.
• Achieved stable and accurate numerical solutions.
• Demonstrated effectiveness of B-splines and Sinc methods in handling weakly singular kernels.
• Provided comparative analysis showing improvement over traditional methods.