A linearized compact θ -method for 2D semi-linear generalized pantograph-reaction–diffusion equations

Key Points

• The proposed method effectively addresses semi-linear generalized reaction-diffusion equations.
• Key findings show increased accuracy, with results suggesting significant improvement in convergence rates.
• Analysis employed a linearized compact method to enhance computational efficiency for mathematical modeling.
• This approach may lead to broader applications in various scientific fields, indicating potential for future studies.